1159880832 has 288 divisors, whose sum is σ = 3761716140. Its totient is φ = 342650880.

The previous prime is 1159880819. The next prime is 1159880849. The reversal of 1159880832 is 2380889511.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1159811136 + 69696 = 34056^2 + 264^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7387698 + ... + 7387854.

Almost surely, 2^1159880832 is an apocalyptic number.

1159880832 is a gapful number since it is divisible by the number (12) 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 1159880832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880858070).

1159880832 is an abundant number, since it is smaller than the sum of its proper divisors (2601835308).

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

1159880832 is a wasteful number, since it uses less digits than its factorization.

1159880832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 1159880832 is about 34057.0232404419. The cubic root of 1159880832 is about 1050.6815928319.

The spelling of 1159880832 in words is "one billion, one hundred fifty-nine million, eight hundred eighty thousand, eight hundred thirty-two".