1591618560 has 352 divisors, whose sum is σ = 5914225152. Its totient is φ = 357826560.

The previous prime is 1591618549. The next prime is 1591618577. The reversal of 1591618560 is 658161951.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12149695 + ... + 12149825.

It is an arithmetic number, because the mean of its divisors is an integer number (16801776).

Almost surely, 2^1591618560 is an apocalyptic number.

1591618560 is a gapful number since it is divisible by the number (10) 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 1591618560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2957112576).

1591618560 is an abundant number, since it is smaller than the sum of its proper divisors (4322606592).

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

1591618560 is a wasteful number, since it uses less digits than its factorization.

1591618560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 42.

The square root of 1591618560 is about 39895.0944352811. The cubic root of 1591618560 is about 1167.5612288241.

The spelling of 1591618560 in words is "one billion, five hundred ninety-one million, six hundred eighteen thousand, five hundred sixty".