616552560 has 300 divisors, whose sum is σ = 2322889272. Its totient is φ = 151497216.

The previous prime is 616552543. The next prime is 616552591. The reversal of 616552560 is 65255616.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1094839 + ... + 1095401.

Almost surely, 2^616552560 is an apocalyptic number.

616552560 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 616552560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161444636).

616552560 is an abundant number, since it is smaller than the sum of its proper divisors (1706336712).

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

616552560 is a wasteful number, since it uses less digits than its factorization.

616552560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 616552560 is about 24830.4764352197. The cubic root of 616552560 is about 851.1185090617.

The spelling of 616552560 in words is "six hundred sixteen million, five hundred fifty-two thousand, five hundred sixty".