57963456 has 84 divisors (see below), whose sum is σ = 167926512. Its totient is φ = 19113984.

The previous prime is 57963413. The next prime is 57963457. The reversal of 57963456 is 65436975.

57963456 is a `hidden beast` number, since 5 + 7 + 9 + 634 + 5 + 6 = 666.

57963456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57963457) 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 11 ways as a sum of consecutive naturals, for example, 58840 + ... + 59816.

Almost surely, 2^57963456 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 57963456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83963256).

57963456 is an abundant number, since it is smaller than the sum of its proper divisors (109963056).

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

57963456 is a wasteful number, since it uses less digits than its factorization.

57963456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 1085 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The square root of 57963456 is about 7613.3734966833. The cubic root of 57963456 is about 387.0063496745.

The spelling of 57963456 in words is "fifty-seven million, nine hundred sixty-three thousand, four hundred fifty-six".