57923840 has 108 divisors (see below), whose sum is σ = 151993884. Its totient is φ = 21024768.

The previous prime is 57923813. The next prime is 57923849. The reversal of 57923840 is 4832975.

It can be written as a sum of positive squares in 2 ways, for example, as 14258176 + 43665664 = 3776^2 + 6608^2 .

It is a junction number, because it is equal to n+sod(n) for n = 57923794 and 57923803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57923849) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 981731 + ... + 981789.

Almost surely, 2^57923840 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 57923840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75996942).

57923840 is an abundant number, since it is smaller than the sum of its proper divisors (94070044).

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

57923840 is an equidigital number, since it uses as much as digits as its factorization.

57923840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 57923840 is about 7610.7713143938. The cubic root of 57923840 is about 386.9181611340.

The spelling of 57923840 in words is "fifty-seven million, nine hundred twenty-three thousand, eight hundred forty".