616519680 has 384 divisors, whose sum is σ = 2339850240. Its totient is φ = 135659520.

The previous prime is 616519649. The next prime is 616519697. The reversal of 616519680 is 86915616.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10106850 + ... + 10106910.

It is an arithmetic number, because the mean of its divisors is an integer number (6093360).

Almost surely, 2^616519680 is an apocalyptic number.

616519680 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 616519680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169925120).

616519680 is an abundant number, since it is smaller than the sum of its proper divisors (1723330560).

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

616519680 is a wasteful number, since it uses less digits than its factorization.

616519680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 616519680 is about 24829.8143368008. The cubic root of 616519680 is about 851.1033790869.

The spelling of 616519680 in words is "six hundred sixteen million, five hundred nineteen thousand, six hundred eighty".