57601368 has 80 divisors (see below), whose sum is σ = 176025960. Its totient is φ = 17452800.

The previous prime is 57601363. The next prime is 57601387. The reversal of 57601368 is 86310675.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57601363) 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, 3088 + ... + 11168.

Almost surely, 2^57601368 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 57601368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88012980).

57601368 is an abundant number, since it is smaller than the sum of its proper divisors (118424592).

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

57601368 is a wasteful number, since it uses less digits than its factorization.

57601368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8110 (or 8097 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 57601368 is about 7589.5565087823. The cubic root of 57601368 is about 386.1988112011.

It can be divided in two parts, 576013 and 68, that added together give a square (576081 = 759²).

The spelling of 57601368 in words is "fifty-seven million, six hundred one thousand, three hundred sixty-eight".