57035952 has 120 divisors (see below), whose sum is σ = 176533344. Its totient is φ = 17098752.

The previous prime is 57035899. The next prime is 57035963. The reversal of 57035952 is 25953075.

57035952 is a `hidden beast` number, since 570 + 35 + 9 + 52 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55798 + ... + 56810.

Almost surely, 2^57035952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57035952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88266672).

57035952 is an abundant number, since it is smaller than the sum of its proper divisors (119497392).

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

57035952 is a wasteful number, since it uses less digits than its factorization.

57035952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 47250, while the sum is 36.

The square root of 57035952 is about 7552.2150393113. The cubic root of 57035952 is about 384.9310091704.

The spelling of 57035952 in words is "fifty-seven million, thirty-five thousand, nine hundred fifty-two".