23552640 has 256 divisors, whose sum is σ = 88128000. Its totient is φ = 5935104.

The previous prime is 23552603. The next prime is 23552651. The reversal of 23552640 is 4625532.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 501097 + ... + 501143.

It is an arithmetic number, because the mean of its divisors is an integer number (344250).

Almost surely, 2^23552640 is an apocalyptic number.

23552640 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 23552640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44064000).

23552640 is an abundant number, since it is smaller than the sum of its proper divisors (64575360).

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

23552640 is a wasteful number, since it uses less digits than its factorization.

23552640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 23552640 is about 4853.1062217924. The cubic root of 23552640 is about 286.6464260693.

The spelling of 23552640 in words is "twenty-three million, five hundred fifty-two thousand, six hundred forty".