657089136 has 240 divisors, whose sum is σ = 2089152000. Its totient is φ = 191093760.

The previous prime is 657089129. The next prime is 657089143. The reversal of 657089136 is 631980756.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (657089129) and next prime (657089143).

It is a super-2 number, since 2×657089136² = 863532265298452992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 657089091 and 657089100.

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 47 ways as a sum of consecutive naturals, for example, 7382980 + ... + 7383068.

It is an arithmetic number, because the mean of its divisors is an integer number (8704800).

Almost surely, 2^657089136 is an apocalyptic number.

657089136 is a gapful number since it is divisible by the number (66) 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 657089136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044576000).

657089136 is an abundant number, since it is smaller than the sum of its proper divisors (1432062864).

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

657089136 is a wasteful number, since it uses less digits than its factorization.

657089136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 657089136 is about 25633.7499402643. The cubic root of 657089136 is about 869.3768982668.

The spelling of 657089136 in words is "six hundred fifty-seven million, eighty-nine thousand, one hundred thirty-six".