57261216 has 96 divisors (see below), whose sum is σ = 157925376. Its totient is φ = 18144000.

The previous prime is 57261209. The next prime is 57261233. The reversal of 57261216 is 61216275.

57261216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 211161 + ... + 211431.

It is an arithmetic number, because the mean of its divisors is an integer number (1645056).

Almost surely, 2^57261216 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 57261216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78962688).

57261216 is an abundant number, since it is smaller than the sum of its proper divisors (100664160).

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

57261216 is a wasteful number, since it uses less digits than its factorization.

57261216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 378 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 57261216 is about 7567.1141130553. The cubic root of 57261216 is about 385.4371062911.

The spelling of 57261216 in words is "fifty-seven million, two hundred sixty-one thousand, two hundred sixteen".