657564216 has 128 divisors (see below), whose sum is σ = 1813985280. Its totient is φ = 197789696.

The previous prime is 657564161. The next prime is 657564223. The reversal of 657564216 is 612465756.

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 31 ways as a sum of consecutive naturals, for example, 1016005 + ... + 1016651.

It is an arithmetic number, because the mean of its divisors is an integer number (14171760).

Almost surely, 2^657564216 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 657564216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906992640).

657564216 is an abundant number, since it is smaller than the sum of its proper divisors (1156421064).

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

657564216 is a wasteful number, since it uses less digits than its factorization.

657564216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 769 counting only the distinct ones).

The product of its digits is 302400, while the sum is 42.

The square root of 657564216 is about 25643.0149553441. The cubic root of 657564216 is about 869.5863696330.

The spelling of 657564216 in words is "six hundred fifty-seven million, five hundred sixty-four thousand, two hundred sixteen".