616934304 has 108 divisors (see below), whose sum is σ = 2040887394. Its totient is φ = 176262912.

The previous prime is 616934261. The next prime is 616934321. The reversal of 616934304 is 403439616.

616934304 is a `hidden beast` number, since 616 + 9 + 3 + 4 + 30 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 326163600 + 290770704 = 18060^2 + 17052^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 17 ways as a sum of consecutive naturals, for example, 7747 + ... + 35970.

Almost surely, 2^616934304 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 616934304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020443697).

616934304 is an abundant number, since it is smaller than the sum of its proper divisors (1423953090).

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

616934304 is a wasteful number, since it uses less digits than its factorization.

616934304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43747 (or 43729 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 616934304 is about 24838.1622508591. The cubic root of 616934304 is about 851.2941320182.

The spelling of 616934304 in words is "six hundred sixteen million, nine hundred thirty-four thousand, three hundred four".