1159934880 has 288 divisors, whose sum is σ = 4028693760. Its totient is φ = 280350720.

The previous prime is 1159934863. The next prime is 1159934921. The reversal of 1159934880 is 884399511.

It is a super-2 number, since 2×1159934880² = 2690897851681228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6408390 + ... + 6408570.

It is an arithmetic number, because the mean of its divisors is an integer number (13988520).

Almost surely, 2^1159934880 is an apocalyptic number.

1159934880 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 1159934880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2014346880).

1159934880 is an abundant number, since it is smaller than the sum of its proper divisors (2868758880).

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

1159934880 is a wasteful number, since it uses less digits than its factorization.

1159934880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 48.

The square root of 1159934880 is about 34057.8167239182. The cubic root of 1159934880 is about 1050.6979124271.

The spelling of 1159934880 in words is "one billion, one hundred fifty-nine million, nine hundred thirty-four thousand, eight hundred eighty".