57585978 has 40 divisors (see below), whose sum is σ = 129516948. Its totient is φ = 19123776.

The previous prime is 57585971. The next prime is 57586007. The reversal of 57585978 is 87958575.

57585978 is a `hidden beast` number, since 57 + 585 + 9 + 7 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 57562569 + 23409 = 7587^2 + 153^2 .

It is a super-2 number, since 2×57585978² = 6632289724432968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (57585971) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59950 + ... + 60902.

Almost surely, 2^57585978 is an apocalyptic number.

57585978 is an abundant number, since it is smaller than the sum of its proper divisors (71930970).

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

57585978 is a wasteful number, since it uses less digits than its factorization.

57585978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1331 counting only the distinct ones).

The product of its digits is 3528000, while the sum is 54.

The square root of 57585978 is about 7588.5425478151. The cubic root of 57585978 is about 386.1644131227.

The spelling of 57585978 in words is "fifty-seven million, five hundred eighty-five thousand, nine hundred seventy-eight".