11570880 has 112 divisors (see below), whose sum is σ = 38953440. Its totient is φ = 2899968.

The previous prime is 11570879. The next prime is 11570891. The reversal of 11570880 is 8807511.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15966 + ... + 16674.

Almost surely, 2^11570880 is an apocalyptic number.

11570880 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 11570880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19476720).

11570880 is an abundant number, since it is smaller than the sum of its proper divisors (27382560).

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

11570880 is a wasteful number, since it uses less digits than its factorization.

11570880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 30.

The square root of 11570880 is about 3401.5996237065. The cubic root of 11570880 is about 226.1806580129.

The spelling of 11570880 in words is "eleven million, five hundred seventy thousand, eight hundred eighty".