57864640 has 56 divisors (see below), whose sum is σ = 138604752. Its totient is φ = 23009280.

The previous prime is 57864607. The next prime is 57864641. The reversal of 57864640 is 4646875.

57864640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 57864593 and 57864602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57864641) 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 7 ways as a sum of consecutive naturals, for example, 67092 + ... + 67948.

Almost surely, 2^57864640 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 57864640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69302376).

57864640 is an abundant number, since it is smaller than the sum of its proper divisors (80740112).

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

57864640 is a wasteful number, since it uses less digits than its factorization.

57864640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The square root of 57864640 is about 7606.8810954293. The cubic root of 57864640 is about 386.7863019952.

The spelling of 57864640 in words is "fifty-seven million, eight hundred sixty-four thousand, six hundred forty".