57166560 has 240 divisors, whose sum is σ = 220640112. Its totient is φ = 13824000.

The previous prime is 57166559. The next prime is 57166561. The reversal of 57166560 is 6566175.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (57166559) and next prime (57166561).

It is a tau number, because it is divible by the number of its divisors (240).

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 (57166561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 142360 + ... + 142760.

Almost surely, 2^57166560 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 57166560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110320056).

57166560 is an abundant number, since it is smaller than the sum of its proper divisors (163473552).

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

57166560 is a wasteful number, since it uses less digits than its factorization.

57166560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 57166560 is about 7560.8570942718. The cubic root of 57166560 is about 385.2246061086.

The spelling of 57166560 in words is "fifty-seven million, one hundred sixty-six thousand, five hundred sixty".