57689460 has 72 divisors (see below), whose sum is σ = 179282376. Its totient is φ = 15006720.

The previous prime is 57689459. The next prime is 57689473. The reversal of 57689460 is 6498675.

It can be written as a sum of positive squares in 4 ways, for example, as 6022116 + 51667344 = 2454^2 + 7188^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 3472 + ... + 11288.

It is an arithmetic number, because the mean of its divisors is an integer number (2490033).

Almost surely, 2^57689460 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 57689460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89641188).

57689460 is an abundant number, since it is smaller than the sum of its proper divisors (121592916).

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

57689460 is a wasteful number, since it uses less digits than its factorization.

57689460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7873 (or 7868 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 57689460 is about 7595.3577927574. The cubic root of 57689460 is about 386.3955871826.

The spelling of 57689460 in words is "fifty-seven million, six hundred eighty-nine thousand, four hundred sixty".