57706656 has 96 divisors (see below), whose sum is σ = 175472640. Its totient is φ = 16263936.

The previous prime is 57706651. The next prime is 57706681. The reversal of 57706656 is 65660775.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57706651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52545 + ... + 53631.

It is an arithmetic number, because the mean of its divisors is an integer number (1827840).

Almost surely, 2^57706656 is an apocalyptic number.

57706656 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 57706656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87736320).

57706656 is an abundant number, since it is smaller than the sum of its proper divisors (117765984).

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

57706656 is a wasteful number, since it uses less digits than its factorization.

57706656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 42.

The square root of 57706656 is about 7596.4897156516. The cubic root of 57706656 is about 386.4339754684.

The spelling of 57706656 in words is "fifty-seven million, seven hundred six thousand, six hundred fifty-six".