616828900 has 36 divisors (see below), whose sum is σ = 1341289152. Its totient is φ = 246220960.

The previous prime is 616828879. The next prime is 616828909. The reversal of 616828900 is 9828616.

It is not an unprimeable number, because it can be changed into a prime (616828909) 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 11 ways as a sum of consecutive naturals, for example, 44169 + ... + 56431.

It is an arithmetic number, because the mean of its divisors is an integer number (37258032).

Almost surely, 2^616828900 is an apocalyptic number.

It is an amenable number.

616828900 is an abundant number, since it is smaller than the sum of its proper divisors (724460252).

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

616828900 is a wasteful number, since it uses less digits than its factorization.

616828900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12780 (or 12773 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The square root of 616828900 is about 24836.0403446282. The cubic root of 616828900 is about 851.2456477000.

The spelling of 616828900 in words is "six hundred sixteen million, eight hundred twenty-eight thousand, nine hundred".