616133504 has 64 divisors (see below), whose sum is σ = 1409884800. Its totient is φ = 262725120.

The previous prime is 616133503. The next prime is 616133521. The reversal of 616133504 is 405331616.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (616133503) 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 7 ways as a sum of consecutive naturals, for example, 187427 + ... + 190685.

It is an arithmetic number, because the mean of its divisors is an integer number (22029450).

Almost surely, 2^616133504 is an apocalyptic number.

616133504 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 616133504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704942400).

616133504 is an abundant number, since it is smaller than the sum of its proper divisors (793751296).

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

616133504 is a wasteful number, since it uses less digits than its factorization.

616133504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3491 (or 3479 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 616133504 is about 24822.0366609994. The cubic root of 616133504 is about 850.9256370735.

The spelling of 616133504 in words is "six hundred sixteen million, one hundred thirty-three thousand, five hundred four".