656793984 has 256 divisors, whose sum is σ = 2207116800. Its totient is φ = 168099840.

The previous prime is 656793983. The next prime is 656794007. The reversal of 656793984 is 489397656.

It is a happy number.

It is a super-3 number, since 3×656793984³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (656793983) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2867982 + ... + 2868210.

It is an arithmetic number, because the mean of its divisors is an integer number (8621550).

Almost surely, 2^656793984 is an apocalyptic number.

656793984 is a gapful number since it is divisible by the number (64) 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 656793984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103558400).

656793984 is an abundant number, since it is smaller than the sum of its proper divisors (1550322816).

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

656793984 is a wasteful number, since it uses less digits than its factorization.

656793984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 349 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 57.

The square root of 656793984 is about 25627.9921960344. The cubic root of 656793984 is about 869.2467095575.

The spelling of 656793984 in words is "six hundred fifty-six million, seven hundred ninety-three thousand, nine hundred eighty-four".