57723984 has 120 divisors (see below), whose sum is σ = 170124032. Its totient is φ = 18247680.

The previous prime is 57723983. The next prime is 57723989. The reversal of 57723984 is 48932775.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57723983) 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 23 ways as a sum of consecutive naturals, for example, 298992 + ... + 299184.

Almost surely, 2^57723984 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 57723984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85062016).

57723984 is an abundant number, since it is smaller than the sum of its proper divisors (112400048).

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

57723984 is a wasteful number, since it uses less digits than its factorization.

57723984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 296 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 57723984 is about 7597.6301568318. The cubic root of 57723984 is about 386.4726507171.

The spelling of 57723984 in words is "fifty-seven million, seven hundred twenty-three thousand, nine hundred eighty-four".