57664152 has 144 divisors (see below), whose sum is σ = 193555440. Its totient is φ = 15185664.

The previous prime is 57664133. The next prime is 57664169. The reversal of 57664152 is 25146675.

It is a happy number.

57664152 is a `hidden beast` number, since 5 + 7 + 6 + 641 + 5 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 84838 + ... + 85514.

It is an arithmetic number, because the mean of its divisors is an integer number (1344135).

Almost surely, 2^57664152 is an apocalyptic number.

57664152 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 57664152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96777720).

57664152 is an abundant number, since it is smaller than the sum of its proper divisors (135891288).

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

57664152 is a wasteful number, since it uses less digits than its factorization.

57664152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 702 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 57664152 is about 7593.6915923680. The cubic root of 57664152 is about 386.3390758207.

The spelling of 57664152 in words is "fifty-seven million, six hundred sixty-four thousand, one hundred fifty-two".