1160090880 has 288 divisors, whose sum is σ = 4227842304. Its totient is φ = 268566528.

The previous prime is 1160090873. The next prime is 1160090887. The reversal of 1160090880 is 880900611.

It is an interprime number because it is at equal distance from previous prime (1160090873) and next prime (1160090887).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1160090887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 847957 + ... + 849323.

It is an arithmetic number, because the mean of its divisors is an integer number (14680008).

Almost surely, 2^1160090880 is an apocalyptic number.

1160090880 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 1160090880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2113921152).

1160090880 is an abundant number, since it is smaller than the sum of its proper divisors (3067751424).

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

1160090880 is a wasteful number, since it uses less digits than its factorization.

1160090880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The square root of 1160090880 is about 34060.1068700613. The cubic root of 1160090880 is about 1050.7450132111.

The spelling of 1160090880 in words is "one billion, one hundred sixty million, ninety thousand, eight hundred eighty".