23655632 has 120 divisors (see below), whose sum is σ = 62933472. Its totient is φ = 8467200.

The previous prime is 23655631. The next prime is 23655641.

23655632 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23655631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112007 + ... + 112217.

Almost surely, 2^23655632 is an apocalyptic number.

23655632 is a gapful number since it is divisible by the number (22) 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 23655632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31466736).

23655632 is an abundant number, since it is smaller than the sum of its proper divisors (39277840).

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

23655632 is a wasteful number, since it uses less digits than its factorization.

23655632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 244 counting only the distinct ones).

The product of its digits is 32400, while the sum is 32.

The square root of 23655632 is about 4863.7055831948. The cubic root of 23655632 is about 287.0636384757.

It can be divided in two parts, 2365 and 5632, that added together give a palindrome (7997).

The spelling of 23655632 in words is "twenty-three million, six hundred fifty-five thousand, six hundred thirty-two".