56626752 has 168 divisors, whose sum is σ = 188098176. Its totient is φ = 14902272.

The previous prime is 56626751. The next prime is 56626753. The reversal of 56626752 is 25762665.

It is an interprime number because it is at equal distance from previous prime (56626751) and next prime (56626753).

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 56626752.

It is not an unprimeable number, because it can be changed into a prime (56626751) 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, 122073 + ... + 122535.

It is an arithmetic number, because the mean of its divisors is an integer number (1119632).

Almost surely, 2^56626752 is an apocalyptic number.

56626752 is a gapful number since it is divisible by the number (52) 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 56626752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94049088).

56626752 is an abundant number, since it is smaller than the sum of its proper divisors (131471424).

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

56626752 is a wasteful number, since it uses less digits than its factorization.

56626752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 488 counting only the distinct ones).

The product of its digits is 151200, while the sum is 39.

The square root of 56626752 is about 7525.0748833483. The cubic root of 56626752 is about 384.0082463507.

The spelling of 56626752 in words is "fifty-six million, six hundred twenty-six thousand, seven hundred fifty-two".