616909860 has 288 divisors, whose sum is σ = 2288482560. Its totient is φ = 131383296.

The previous prime is 616909859. The next prime is 616909871. The reversal of 616909860 is 68909616.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 1747444 + ... + 1747796.

It is an arithmetic number, because the mean of its divisors is an integer number (7946120).

Almost surely, 2^616909860 is an apocalyptic number.

616909860 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 616909860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1144241280).

616909860 is an abundant number, since it is smaller than the sum of its proper divisors (1671572700).

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

616909860 is a wasteful number, since it uses less digits than its factorization.

616909860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 616909860 is about 24837.6701805946. The cubic root of 616909860 is about 851.2828886230.

The spelling of 616909860 in words is "six hundred sixteen million, nine hundred nine thousand, eight hundred sixty".