57622656 has 256 divisors, whose sum is σ = 201519360. Its totient is φ = 14155776.

The previous prime is 57622651. The next prime is 57622699. The reversal of 57622656 is 65622675.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57622651) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 594000 + ... + 594096.

It is an arithmetic number, because the mean of its divisors is an integer number (787185).

Almost surely, 2^57622656 is an apocalyptic number.

57622656 is a gapful number since it is divisible by the number (56) 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 57622656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100759680).

57622656 is an abundant number, since it is smaller than the sum of its proper divisors (143896704).

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

57622656 is a wasteful number, since it uses less digits than its factorization.

57622656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 139 counting only the distinct ones).

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

The square root of 57622656 is about 7590.9588327167. The cubic root of 57622656 is about 386.2463817593.

It can be divided in two parts, 576 and 22656, that added together give a palindrome (23232).

The spelling of 57622656 in words is "fifty-seven million, six hundred twenty-two thousand, six hundred fifty-six".