57464640 has 168 divisors, whose sum is σ = 205252320. Its totient is φ = 15303168.

The previous prime is 57464621. The next prime is 57464677. The reversal of 57464640 is 4646475.

57464640 is a `hidden beast` number, since 5 + 7 + 4 + 6 + 4 + 640 = 666.

57464640 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 57464595 and 57464604.

It is a congruent number.

It is an unprimeable number.

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, 77391 + ... + 78129.

It is an arithmetic number, because the mean of its divisors is an integer number (1221740).

Almost surely, 2^57464640 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 57464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102626160).

57464640 is an abundant number, since it is smaller than the sum of its proper divisors (147787680).

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

57464640 is an equidigital number, since it uses as much as digits as its factorization.

57464640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 57464640 is about 7580.5435161339. The cubic root of 57464640 is about 385.8929965512.

The spelling of 57464640 in words is "fifty-seven million, four hundred sixty-four thousand, six hundred forty".