616584960 has 360 divisors, whose sum is σ = 2329792080. Its totient is φ = 155271168.

The previous prime is 616584953. The next prime is 616584961. The reversal of 616584960 is 69485616.

616584960 is a `hidden beast` number, since 6 + 1 + 6 + 584 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (616584961) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1969764 + ... + 1970076.

Almost surely, 2^616584960 is an apocalyptic number.

616584960 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 616584960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164896040).

616584960 is an abundant number, since it is smaller than the sum of its proper divisors (1713207120).

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

616584960 is a wasteful number, since it uses less digits than its factorization.

616584960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 616584960 is about 24831.1288506987. The cubic root of 616584960 is about 851.1334176348.

It can be divided in two parts, 6165 and 84960, that added together give a cube (91125 = 45³).

The spelling of 616584960 in words is "six hundred sixteen million, five hundred eighty-four thousand, nine hundred sixty".