23284560 has 160 divisors (see below), whose sum is σ = 82494720. Its totient is φ = 5382144.

The previous prime is 23284511. The next prime is 23284567. The reversal of 23284560 is 6548232.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23284567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52821 + ... + 53259.

It is an arithmetic number, because the mean of its divisors is an integer number (515592).

Almost surely, 2^23284560 is an apocalyptic number.

23284560 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 23284560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41247360).

23284560 is an abundant number, since it is smaller than the sum of its proper divisors (59210160).

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

23284560 is a wasteful number, since it uses less digits than its factorization.

23284560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 23284560 is about 4825.4077547913. The cubic root of 23284560 is about 285.5547213801.

The spelling of 23284560 in words is "twenty-three million, two hundred eighty-four thousand, five hundred sixty".