57691296 has 144 divisors (see below), whose sum is σ = 186207840. Its totient is φ = 16796160.

The previous prime is 57691273. The next prime is 57691307. The reversal of 57691296 is 69219675.

57691296 = 355² + 356² + ... + 601².

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70731 + ... + 71541.

It is an arithmetic number, because the mean of its divisors is an integer number (1293110).

Almost surely, 2^57691296 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 57691296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93103920).

57691296 is an abundant number, since it is smaller than the sum of its proper divisors (128516544).

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

57691296 is a wasteful number, since it uses less digits than its factorization.

57691296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 848 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The square root of 57691296 is about 7595.4786550948. The cubic root of 57691296 is about 386.3996862258.

The spelling of 57691296 in words is "fifty-seven million, six hundred ninety-one thousand, two hundred ninety-six".