57910496 has 48 divisors (see below), whose sum is σ = 130927104. Its totient is φ = 24699264.

The previous prime is 57910487. The next prime is 57910507. The reversal of 57910496 is 69401975.

57910496 = T₁₈₁ + T₁₈₂ + ... + T₇₀₆.

57910496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 58421 + ... + 59403.

It is an arithmetic number, because the mean of its divisors is an integer number (2727648).

Almost surely, 2^57910496 is an apocalyptic number.

57910496 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57910496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65463552).

57910496 is an abundant number, since it is smaller than the sum of its proper divisors (73016608).

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

57910496 is a wasteful number, since it uses less digits than its factorization.

57910496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 41.

The square root of 57910496 is about 7609.8946116224. The cubic root of 57910496 is about 386.8884472173. Note that the first 3 decimals are identical.

The spelling of 57910496 in words is "fifty-seven million, nine hundred ten thousand, four hundred ninety-six".