656348616 has 512 divisors, whose sum is σ = 2506752000. Its totient is φ = 153964800.

The previous prime is 656348611. The next prime is 656348653. The reversal of 656348616 is 616843656.

656348616 is a `hidden beast` number, since 6 + 5 + 634 + 8 + 6 + 1 + 6 = 666.

656348616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (656348611) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9796215 + ... + 9796281.

It is an arithmetic number, because the mean of its divisors is an integer number (4896000).

Almost surely, 2^656348616 is an apocalyptic number.

656348616 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 656348616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253376000).

656348616 is an abundant number, since it is smaller than the sum of its proper divisors (1850403384).

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

656348616 is a wasteful number, since it uses less digits than its factorization.

656348616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 140 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 656348616 is about 25619.3016298259. The cubic root of 656348616 is about 869.0501881644.

The spelling of 656348616 in words is "six hundred fifty-six million, three hundred forty-eight thousand, six hundred sixteen".