656100000 has 324 divisors, whose sum is σ = 2421653598. Its totient is φ = 174960000.

The previous prime is 656099993. The next prime is 656100013. The reversal of 656100000 is 1656.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

656100000 is a `hidden beast` number, since 656 + 10 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 944784 + 655155216 = 972^2 + 25596^2 .

It is a tau number, because it is divible by the number of its divisors (324).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 53 ways as a sum of consecutive naturals, for example, 131219998 + ... + 131220002.

Almost surely, 2^656100000 is an apocalyptic number.

656100000 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 656100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210826799).

656100000 is an abundant number, since it is smaller than the sum of its proper divisors (1765553598).

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

656100000 is an frugal number, since it uses more digits than its factorization.

656100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 656100000 is about 25614.4490473639. The cubic root of 656100000 is about 868.9404461451.

Adding to 656100000 its reverse (1656), we get a palindrome (656101656).

The spelling of 656100000 in words is "six hundred fifty-six million, one hundred thousand".