616633164 has 144 divisors (see below), whose sum is σ = 1833668928. Its totient is φ = 171085824.

The previous prime is 616633159. The next prime is 616633229. The reversal of 616633164 is 461336616.

616633164 is a `hidden beast` number, since 6 + 1 + 6 + 633 + 16 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

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 47 ways as a sum of consecutive naturals, for example, 1829604 + ... + 1829940.

It is an arithmetic number, because the mean of its divisors is an integer number (12733812).

Almost surely, 2^616633164 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 616633164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916834464).

616633164 is an abundant number, since it is smaller than the sum of its proper divisors (1217035764).

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

616633164 is a wasteful number, since it uses less digits than its factorization.

616633164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 539 counting only the distinct ones).

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

The square root of 616633164 is about 24832.0994682286. The cubic root of 616633164 is about 851.1555973120.

The spelling of 616633164 in words is "six hundred sixteen million, six hundred thirty-three thousand, one hundred sixty-four".