656728800 has 576 divisors, whose sum is σ = 2743824384. Its totient is φ = 132710400.

The previous prime is 656728783. The next prime is 656728829. The reversal of 656728800 is 8827656.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 95 ways as a sum of consecutive naturals, for example, 6770352 + ... + 6770448.

It is an arithmetic number, because the mean of its divisors is an integer number (4763584).

Almost surely, 2^656728800 is an apocalyptic number.

656728800 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 656728800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371912192).

656728800 is an abundant number, since it is smaller than the sum of its proper divisors (2087095584).

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

656728800 is a wasteful number, since it uses less digits than its factorization.

656728800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 656728800 is about 25626.7204300511. The cubic root of 656728800 is about 869.2179522640.

The spelling of 656728800 in words is "six hundred fifty-six million, seven hundred twenty-eight thousand, eight hundred".