23456000 has 72 divisors (see below), whose sum is σ = 58511544. Its totient is φ = 9369600.

The previous prime is 23455987. The next prime is 23456003. The reversal of 23456000 is 65432.

It can be written as a sum of positive squares in 4 ways, for example, as 262144 + 23193856 = 512^2 + 4816^2 .

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (23456003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31634 + ... + 32366.

Almost surely, 2^23456000 is an apocalyptic number.

23456000 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 23456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29255772).

23456000 is an abundant number, since it is smaller than the sum of its proper divisors (35055544).

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

23456000 is an frugal number, since it uses more digits than its factorization.

23456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 23456000 is about 4843.1394776529. The cubic root of 23456000 is about 286.2538375947.

The spelling of 23456000 in words is "twenty-three million, four hundred fifty-six thousand".