57766140 has 36 divisors (see below), whose sum is σ = 175224504. Its totient is φ = 15404256.

The previous prime is 57766123. The next prime is 57766151. The reversal of 57766140 is 4166775.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 57766095 and 57766104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 160282 + ... + 160641.

Almost surely, 2^57766140 is an apocalyptic number.

It is an amenable number.

57766140 is an abundant number, since it is smaller than the sum of its proper divisors (117458364).

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

57766140 is a wasteful number, since it uses less digits than its factorization.

57766140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320938 (or 320933 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 57766140 is about 7600.4039366339. The cubic root of 57766140 is about 386.5667085389.

The spelling of 57766140 in words is "fifty-seven million, seven hundred sixty-six thousand, one hundred forty".