57311016 has 64 divisors (see below), whose sum is σ = 165628800. Its totient is φ = 16186368.

The previous prime is 57310991. The next prime is 57311017. The reversal of 57311016 is 61011375.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (57311017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13036 + ... + 16868.

It is an arithmetic number, because the mean of its divisors is an integer number (2587950).

Almost surely, 2^57311016 is an apocalyptic number.

57311016 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 57311016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82814400).

57311016 is an abundant number, since it is smaller than the sum of its proper divisors (108317784).

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

57311016 is a wasteful number, since it uses less digits than its factorization.

57311016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3938 (or 3934 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 57311016 is about 7570.4039522340. The cubic root of 57311016 is about 385.5488119525.

The spelling of 57311016 in words is "fifty-seven million, three hundred eleven thousand, sixteen".