57985960 has 16 divisors (see below), whose sum is σ = 130468500. Its totient is φ = 23194368.

The previous prime is 57985951. The next prime is 57985969. The reversal of 57985960 is 6958975.

57985960 = T₆₂₁₆ + T₆₂₁₇ + T₆₂₁₈.

It is an interprime number because it is at equal distance from previous prime (57985951) and next prime (57985969).

It can be written as a sum of positive squares in 2 ways, for example, as 54199044 + 3786916 = 7362^2 + 1946^2 .

It is not an unprimeable number, because it can be changed into a prime (57985969) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 724785 + ... + 724864.

Almost surely, 2^57985960 is an apocalyptic number.

57985960 is the 6218-th centered triangular number.

It is an amenable number.

57985960 is an abundant number, since it is smaller than the sum of its proper divisors (72482540).

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

57985960 is a wasteful number, since it uses less digits than its factorization.

57985960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1449660 (or 1449656 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 49.

The square root of 57985960 is about 7614.8512789154. The cubic root of 57985960 is about 387.0564275720.

The spelling of 57985960 in words is "fifty-seven million, nine hundred eighty-five thousand, nine hundred sixty".