23040 has 60 divisors (see below), whose sum is σ = 79794. Its totient is φ = 6144.

The previous prime is 23039. The next prime is 23041. The reversal of 23040 is 4032.

It is a Jordan-Polya number, since it can be written as 6! ⋅ (2!)^{5}.

It is an interprime number because it is at equal distance from previous prime (23039) and next prime (23041).

It can be written as a sum of positive squares in only one way, i.e., 20736 + 2304 = 144^2 + 48^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 8 and base 13.

It is a zygodrome in base 4 and base 8.

It is not an unprimeable number, because it can be changed into a prime (23041) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4606 + ... + 4610.

2^{23040} is an apocalyptic number.

23040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39897).

23040 is an abundant number, since it is smaller than the sum of its proper divisors (56754).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23040 is an equidigital number, since it uses as much as digits as its factorization.

23040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 23040 is about 151.7893276881. The cubic root of 23040 is about 28.4551464359.

Adding to 23040 its reverse (4032), we get a palindrome (27072).

The spelling of 23040 in words is "twenty-three thousand, forty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1280 1440 1536 1920 2304 2560 2880 3840 4608 5760 7680 11520 23040

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