656676720 has 400 divisors, whose sum is σ = 2696398848. Its totient is φ = 144944640.

The previous prime is 656676719. The next prime is 656676721. The reversal of 656676720 is 27676656.

656676720 is a `hidden beast` number, since 6 + 566 + 7 + 67 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (656676719) and next prime (656676721).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (656676721) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 1405927 + ... + 1406393.

Almost surely, 2^656676720 is an apocalyptic number.

656676720 is a gapful number since it is divisible by the number (60) 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 656676720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348199424).

656676720 is an abundant number, since it is smaller than the sum of its proper divisors (2039722128).

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

656676720 is a wasteful number, since it uses less digits than its factorization.

656676720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 656676720 is about 25625.7042830046. The cubic root of 656676720 is about 869.1949747083.

The spelling of 656676720 in words is "six hundred fifty-six million, six hundred seventy-six thousand, seven hundred twenty".