1159090560 has 384 divisors, whose sum is σ = 4310560800. Its totient is φ = 297271296.

The previous prime is 1159090507. The next prime is 1159090561. The reversal of 1159090560 is 650909511.

1159090560 is a `hidden beast` number, since 1 + 1 + 5 + 9 + 0 + 90 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1159090560² = 2686981852562227200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1159090561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4509952 + ... + 4510208.

Almost surely, 2^1159090560 is an apocalyptic number.

1159090560 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 1159090560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2155280400).

1159090560 is an abundant number, since it is smaller than the sum of its proper divisors (3151470240).

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

1159090560 is an equidigital number, since it uses as much as digits as its factorization.

1159090560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 36.

The square root of 1159090560 is about 34045.4190751120. The cubic root of 1159090560 is about 1050.4429151823.

The spelling of 1159090560 in words is "one billion, one hundred fifty-nine million, ninety thousand, five hundred sixty".