616338072 has 320 divisors, whose sum is σ = 2090880000. Its totient is φ = 169428672.

The previous prime is 616338071. The next prime is 616338109. The reversal of 616338072 is 270833616.

It is a happy number.

616338072 is a `hidden beast` number, since 616 + 3 + 38 + 0 + 7 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (616338071) 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 79 ways as a sum of consecutive naturals, for example, 10446379 + ... + 10446437.

It is an arithmetic number, because the mean of its divisors is an integer number (6534000).

Almost surely, 2^616338072 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 616338072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045440000).

616338072 is an abundant number, since it is smaller than the sum of its proper divisors (1474541928).

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

616338072 is a wasteful number, since it uses less digits than its factorization.

616338072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 616338072 is about 24826.1570123126. The cubic root of 616338072 is about 851.0198011321.

The spelling of 616338072 in words is "six hundred sixteen million, three hundred thirty-eight thousand, seventy-two".