1130088960 has 960 divisors, whose sum is σ = 5362156800. Its totient is φ = 216760320.

The previous prime is 1130088941. The next prime is 1130088979. The reversal of 1130088960 is 698800311.

It is an interprime number because it is at equal distance from previous prime (1130088941) and next prime (1130088979).

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-4 number, since 4×1130088960⁴ (a number of 37 digits) contains 4444 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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86929914 + ... + 86929926.

It is an arithmetic number, because the mean of its divisors is an integer number (5585580).

Almost surely, 2^1130088960 is an apocalyptic number.

1130088960 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 1130088960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2681078400).

1130088960 is an abundant number, since it is smaller than the sum of its proper divisors (4232067840).

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

1130088960 is a wasteful number, since it uses less digits than its factorization.

1130088960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1130088960 is about 33616.7958020987. The cubic root of 1130088960 is about 1041.6077696264.

The spelling of 1130088960 in words is "one billion, one hundred thirty million, eighty-eight thousand, nine hundred sixty".