57740160 has 256 divisors, whose sum is σ = 204897600. Its totient is φ = 13762560.

The previous prime is 57740159. The next prime is 57740167. The reversal of 57740160 is 6104775.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57740167) 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, 946530 + ... + 946590.

Almost surely, 2^57740160 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 57740160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102448800).

57740160 is an abundant number, since it is smaller than the sum of its proper divisors (147157440).

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

57740160 is a wasteful number, since it uses less digits than its factorization.

57740160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 57740160 is about 7598.6946247365. The cubic root of 57740160 is about 386.5087477735.

The spelling of 57740160 in words is "fifty-seven million, seven hundred forty thousand, one hundred sixty".