616941360 has 600 divisors, whose sum is σ = 2616997680. Its totient is φ = 134120448.

The previous prime is 616941341. The next prime is 616941371. The reversal of 616941360 is 63149616.

616941360 is a `hidden beast` number, since 616 + 9 + 4 + 1 + 36 + 0 = 666.

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

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 9208047 + ... + 9208113.

Almost surely, 2^616941360 is an apocalyptic number.

616941360 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 616941360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308498840).

616941360 is an abundant number, since it is smaller than the sum of its proper divisors (2000056320).

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

616941360 is a wasteful number, since it uses less digits than its factorization.

616941360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 616941360 is about 24838.3042899470. The cubic root of 616941360 is about 851.2973774791.

The spelling of 616941360 in words is "six hundred sixteen million, nine hundred forty-one thousand, three hundred sixty".