616578560 has 160 divisors (see below), whose sum is σ = 1616896512. Its totient is φ = 224133120.

The previous prime is 616578553. The next prime is 616578569. The reversal of 616578560 is 65875616.

It is a Cunningham number, because it is equal to 24831²-1.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (616578569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3228065 + ... + 3228255.

Almost surely, 2^616578560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 616578560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808448256).

616578560 is an abundant number, since it is smaller than the sum of its proper divisors (1000317952).

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

616578560 is a wasteful number, since it uses less digits than its factorization.

616578560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 44.

The square root of 616578560 is about 24830.9999798639. Note that the first 4 decimals coincide. The cubic root of 616578560 is about 851.1304727728.

The spelling of 616578560 in words is "six hundred sixteen million, five hundred seventy-eight thousand, five hundred sixty".