616801600 has 42 divisors (see below), whose sum is σ = 1517721374. Its totient is φ = 246720000.

The previous prime is 616801583. The next prime is 616801621. The reversal of 616801600 is 6108616.

It can be written as a sum of positive squares in 3 ways, for example, as 15178816 + 601622784 = 3896^2 + 24528^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 191151 + ... + 194350.

Almost surely, 2^616801600 is an apocalyptic number.

It is an amenable number.

616801600 is an abundant number, since it is smaller than the sum of its proper divisors (900919774).

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

616801600 is a wasteful number, since it uses less digits than its factorization.

616801600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385523 (or 385508 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 616801600 is about 24835.4907340282. The cubic root of 616801600 is about 851.2330891936.

The spelling of 616801600 in words is "six hundred sixteen million, eight hundred one thousand, six hundred".