616074400 has 72 divisors (see below), whose sum is σ = 1507965984. Its totient is φ = 245779200.

The previous prime is 616074379. The next prime is 616074427. The reversal of 616074400 is 4470616.

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 11 ways as a sum of consecutive naturals, for example, 401635 + ... + 403165.

It is an arithmetic number, because the mean of its divisors is an integer number (20943972).

Almost surely, 2^616074400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 616074400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753982992).

616074400 is an abundant number, since it is smaller than the sum of its proper divisors (891891584).

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

616074400 is a wasteful number, since it uses less digits than its factorization.

616074400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2054 (or 2041 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 616074400 is about 24820.8460774406. The cubic root of 616074400 is about 850.8984272146.

The spelling of 616074400 in words is "six hundred sixteen million, seventy-four thousand, four hundred".