616107960 has 192 divisors, whose sum is σ = 2203044480. Its totient is φ = 148377600.

The previous prime is 616107959. The next prime is 616107977. The reversal of 616107960 is 69701616.

616107960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 218560 + ... + 221360.

It is an arithmetic number, because the mean of its divisors is an integer number (11474190).

Almost surely, 2^616107960 is an apocalyptic number.

616107960 is a gapful number since it is divisible by the number (60) 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 616107960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101522240).

616107960 is an abundant number, since it is smaller than the sum of its proper divisors (1586936520).

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

616107960 is a wasteful number, since it uses less digits than its factorization.

616107960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2878 (or 2871 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 616107960 is about 24821.5221128762. The cubic root of 616107960 is about 850.9138775307.

The spelling of 616107960 in words is "six hundred sixteen million, one hundred seven thousand, nine hundred sixty".