11258880 has 88 divisors (see below), whose sum is σ = 36059952. Its totient is φ = 2998272.

The previous prime is 11258857. The next prime is 11258909. The reversal of 11258880 is 8885211.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14994 + ... + 15726.

Almost surely, 2^11258880 is an apocalyptic number.

11258880 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 11258880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18029976).

11258880 is an abundant number, since it is smaller than the sum of its proper divisors (24801072).

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

11258880 is an equidigital number, since it uses as much as digits as its factorization.

11258880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 33.

The square root of 11258880 is about 3355.4254573750. The cubic root of 11258880 is about 224.1291771920.

The spelling of 11258880 in words is "eleven million, two hundred fifty-eight thousand, eight hundred eighty".