57677312 has 180 divisors, whose sum is σ = 155107260. Its totient is φ = 21288960.

The previous prime is 57677297. The next prime is 57677327. The reversal of 57677312 is 21377675.

It is an interprime number because it is at equal distance from previous prime (57677297) and next prime (57677327).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3035639 + ... + 3035657.

It is an arithmetic number, because the mean of its divisors is an integer number (861707).

Almost surely, 2^57677312 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 57677312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77553630).

57677312 is an abundant number, since it is smaller than the sum of its proper divisors (97429948).

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

57677312 is a wasteful number, since it uses less digits than its factorization.

57677312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 39 counting only the distinct ones).

The product of its digits is 61740, while the sum is 38.

The square root of 57677312 is about 7594.5580516578. The cubic root of 57677312 is about 386.3684634347.

Multiplying 57677312 by its sum of digits (38), we get a square (2191737856 = 46816²).

57677312 divided by its sum of digits (38) gives a square (1517824 = 1232²).

The spelling of 57677312 in words is "fifty-seven million, six hundred seventy-seven thousand, three hundred twelve".