57749920 has 72 divisors (see below), whose sum is σ = 140137452. Its totient is φ = 22487040.

The previous prime is 57749917. The next prime is 57749927. The reversal of 57749920 is 2994775.

It can be written as a sum of positive squares in 6 ways, for example, as 414736 + 57335184 = 644^2 + 7572^2 .

It is not an unprimeable number, because it can be changed into a prime (57749927) 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 11 ways as a sum of consecutive naturals, for example, 595312 + ... + 595408.

Almost surely, 2^57749920 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 57749920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70068726).

57749920 is an abundant number, since it is smaller than the sum of its proper divisors (82387532).

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

57749920 is an equidigital number, since it uses as much as digits as its factorization.

57749920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 43.

The square root of 57749920 is about 7599.3368131699. The cubic root of 57749920 is about 386.5305241411.

The spelling of 57749920 in words is "fifty-seven million, seven hundred forty-nine thousand, nine hundred twenty".