616377408 has 56 divisors (see below), whose sum is σ = 1636300512. Its totient is φ = 204770304.

The previous prime is 616377403. The next prime is 616377473. The reversal of 616377408 is 804773616.

It is a super-2 number, since 2×616377408² = 759842218185596928, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 616377408.

It is not an unprimeable number, because it can be changed into a prime (616377403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53716 + ... + 64172.

It is an arithmetic number, because the mean of its divisors is an integer number (29219652).

Almost surely, 2^616377408 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 616377408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818150256).

616377408 is an abundant number, since it is smaller than the sum of its proper divisors (1019923104).

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

616377408 is a wasteful number, since it uses less digits than its factorization.

616377408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10779 (or 10769 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 616377408 is about 24826.9492286104. The cubic root of 616377408 is about 851.0379053751.

The spelling of 616377408 in words is "six hundred sixteen million, three hundred seventy-seven thousand, four hundred eight".