657233920 has 192 divisors, whose sum is σ = 1846877760. Its totient is φ = 219807744.

The previous prime is 657233909. The next prime is 657233999. The reversal of 657233920 is 29332756.

It is a self number, because there is not a number n which added to its sum of digits gives 657233920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3798954 + ... + 3799126.

It is an arithmetic number, because the mean of its divisors is an integer number (9619155).

Almost surely, 2^657233920 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 657233920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923438880).

657233920 is an abundant number, since it is smaller than the sum of its proper divisors (1189643840).

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

657233920 is a wasteful number, since it uses less digits than its factorization.

657233920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 37.

The square root of 657233920 is about 25636.5738740574. The cubic root of 657233920 is about 869.4407468449.

The spelling of 657233920 in words is "six hundred fifty-seven million, two hundred thirty-three thousand, nine hundred twenty".