657230112 has 480 divisors, whose sum is σ = 2502783360. Its totient is φ = 164229120.

The previous prime is 657230111. The next prime is 657230113. The reversal of 657230112 is 211032756.

It is a happy number.

657230112 is a `hidden beast` number, since 657 + 2 + 3 + 0 + 1 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (657230111) and next prime (657230113).

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

It is not an unprimeable number, because it can be changed into a prime (657230111) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 7384564 + ... + 7384652.

It is an arithmetic number, because the mean of its divisors is an integer number (5214132).

Almost surely, 2^657230112 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 657230112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251391680).

657230112 is an abundant number, since it is smaller than the sum of its proper divisors (1845553248).

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

657230112 is a wasteful number, since it uses less digits than its factorization.

657230112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 657230112 is about 25636.4996050553. The cubic root of 657230112 is about 869.4390676676.

Adding to 657230112 its reverse (211032756), we get a palindrome (868262868).

The spelling of 657230112 in words is "six hundred fifty-seven million, two hundred thirty thousand, one hundred twelve".