616507560 has 96 divisors (see below), whose sum is σ = 2014052040. Its totient is φ = 163548672.

The previous prime is 616507553. The next prime is 616507561. The reversal of 616507560 is 65705616.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 513566244 + 102941316 = 22662^2 + 10146^2 .

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

It is not an unprimeable number, because it can be changed into a prime (616507561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66574 + ... + 75266.

Almost surely, 2^616507560 is an apocalyptic number.

616507560 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 616507560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007026020).

616507560 is an abundant number, since it is smaller than the sum of its proper divisors (1397544480).

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

616507560 is a wasteful number, since it uses less digits than its factorization.

616507560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8907 (or 8900 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 616507560 is about 24829.5702741711. The cubic root of 616507560 is about 851.0978018437.

The spelling of 616507560 in words is "six hundred sixteen million, five hundred seven thousand, five hundred sixty".