57792096 has 48 divisors (see below), whose sum is σ = 168562800. Its totient is φ = 19263744.

The previous prime is 57792089. The next prime is 57792103. The reversal of 57792096 is 69029775.

57792096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (57792089) and next prime (57792103).

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 32581 + ... + 34308.

It is an arithmetic number, because the mean of its divisors is an integer number (3511725).

Almost surely, 2^57792096 is an apocalyptic number.

It is an amenable number.

57792096 is an abundant number, since it is smaller than the sum of its proper divisors (110770704).

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

57792096 is a wasteful number, since it uses less digits than its factorization.

57792096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66908 (or 66894 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 57792096 is about 7602.1112856890. Note that the first 3 decimals coincide. The cubic root of 57792096 is about 386.6245984091.

It can be divided in two parts, 5779 and 2096, that added together give a triangular number (7875 = T₁₂₅).

The spelling of 57792096 in words is "fifty-seven million, seven hundred ninety-two thousand, ninety-six".