57710016 has 224 divisors, whose sum is σ = 209377280. Its totient is φ = 15178752.

The previous prime is 57709991. The next prime is 57710027. The reversal of 57710016 is 61001775.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157065 + ... + 157431.

It is an arithmetic number, because the mean of its divisors is an integer number (934720).

Almost surely, 2^57710016 is an apocalyptic number.

57710016 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 57710016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104688640).

57710016 is an abundant number, since it is smaller than the sum of its proper divisors (151667264).

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

57710016 is a wasteful number, since it uses less digits than its factorization.

57710016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 57710016 is about 7596.7108672109. The cubic root of 57710016 is about 386.4414754291.

The spelling of 57710016 in words is "fifty-seven million, seven hundred ten thousand, sixteen".