616634304 has 224 divisors, whose sum is σ = 1971787776. Its totient is φ = 167546880.

The previous prime is 616634297. The next prime is 616634329. The reversal of 616634304 is 403436616.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 31 ways as a sum of consecutive naturals, for example, 1015569 + ... + 1016175.

It is an arithmetic number, because the mean of its divisors is an integer number (8802624).

Almost surely, 2^616634304 is an apocalyptic number.

616634304 is a gapful number since it is divisible by the number (64) 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 616634304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985893888).

616634304 is an abundant number, since it is smaller than the sum of its proper divisors (1355153472).

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

616634304 is a wasteful number, since it uses less digits than its factorization.

616634304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 616634304 is about 24832.1224223786. The cubic root of 616634304 is about 851.1561218360.

It can be divided in two parts, 6166 and 34304, that added together give a triangular number (40470 = T₂₈₄).

The spelling of 616634304 in words is "six hundred sixteen million, six hundred thirty-four thousand, three hundred four".