57406660 has 36 divisors (see below), whose sum is σ = 124890948. Its totient is φ = 22164352.

The previous prime is 57406649. The next prime is 57406663. The reversal of 57406660 is 6660475.

It can be written as a sum of positive squares in 6 ways, for example, as 2883204 + 54523456 = 1698^2 + 7384^2 .

It is a super-2 number, since 2×57406660² = 6591049224711200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (57406663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15114 + ... + 18526.

It is an arithmetic number, because the mean of its divisors is an integer number (3469193).

Almost surely, 2^57406660 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 57406660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62445474).

57406660 is an abundant number, since it is smaller than the sum of its proper divisors (67484288).

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

57406660 is a wasteful number, since it uses less digits than its factorization.

57406660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3480 (or 3449 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 57406660 is about 7576.7182869630. The cubic root of 57406660 is about 385.7631682773.

The spelling of 57406660 in words is "fifty-seven million, four hundred six thousand, six hundred sixty".