57734560 has 96 divisors (see below), whose sum is σ = 150694992. Its totient is φ = 20766720.

The previous prime is 57734557. The next prime is 57734587. The reversal of 57734560 is 6543775.

57734560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 17943696 + 39790864 = 4236^2 + 6308^2 .

It is a super-4 number, since 4×57734560⁴ (a number of 32 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84942 + ... + 85618.

Almost surely, 2^57734560 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 57734560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75347496).

57734560 is an abundant number, since it is smaller than the sum of its proper divisors (92960432).

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

57734560 is a wasteful number, since it uses less digits than its factorization.

57734560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 37.

The square root of 57734560 is about 7598.3261314582. The cubic root of 57734560 is about 386.4962520284.

The spelling of 57734560 in words is "fifty-seven million, seven hundred thirty-four thousand, five hundred sixty".