23256000 has 336 divisors, whose sum is σ = 92720160. Its totient is φ = 5529600.

The previous prime is 23255989. The next prime is 23256007. The reversal of 23256000 is 65232.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23256007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1223991 + ... + 1224009.

Almost surely, 2^23256000 is an apocalyptic number.

23256000 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 23256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46360080).

23256000 is an abundant number, since it is smaller than the sum of its proper divisors (69464160).

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

23256000 is a wasteful number, since it uses less digits than its factorization.

23256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 23256000 is about 4822.4475113784. The cubic root of 23256000 is about 285.4379232456.

The spelling of 23256000 in words is "twenty-three million, two hundred fifty-six thousand".