1156314880 has 288 divisors, whose sum is σ = 3428425728. Its totient is φ = 364953600.

The previous prime is 1156314869. The next prime is 1156314881. The reversal of 1156314880 is 884136511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1156314881) 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, 6388390 + ... + 6388570.

It is an arithmetic number, because the mean of its divisors is an integer number (11904256).

Almost surely, 2^1156314880 is an apocalyptic number.

1156314880 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 1156314880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714212864).

1156314880 is an abundant number, since it is smaller than the sum of its proper divisors (2272110848).

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

1156314880 is a wasteful number, since it uses less digits than its factorization.

1156314880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 37.

The square root of 1156314880 is about 34004.6302729496. The cubic root of 1156314880 is about 1049.6037446575.

The spelling of 1156314880 in words is "one billion, one hundred fifty-six million, three hundred fourteen thousand, eight hundred eighty".