57994560 has 168 divisors, whose sum is σ = 214960200. Its totient is φ = 14266368.

The previous prime is 57994549. The next prime is 57994567. The reversal of 57994560 is 6549975.

It is a happy number.

57994560 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 4 ways, for example, as 112896 + 57881664 = 336^2 + 7608^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57994567) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 36666 + ... + 38214.

It is an arithmetic number, because the mean of its divisors is an integer number (1279525).

Almost surely, 2^57994560 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 57994560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107480100).

57994560 is an abundant number, since it is smaller than the sum of its proper divisors (156965640).

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

57994560 is a wasteful number, since it uses less digits than its factorization.

57994560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 57994560 is about 7615.4159439915. The cubic root of 57994560 is about 387.0755616333.

The spelling of 57994560 in words is "fifty-seven million, nine hundred ninety-four thousand, five hundred sixty".