11270880 has 96 divisors (see below), whose sum is σ = 39463200. Its totient is φ = 3004416.

The previous prime is 11270867. The next prime is 11270899. The reversal of 11270880 is 8807211.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 3016 + ... + 5624.

It is an arithmetic number, because the mean of its divisors is an integer number (411075).

Almost surely, 2^11270880 is an apocalyptic number.

11270880 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 11270880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19731600).

11270880 is an abundant number, since it is smaller than the sum of its proper divisors (28192320).

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

11270880 is a wasteful number, since it uses less digits than its factorization.

11270880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2633 (or 2619 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 11270880 is about 3357.2131299636. The cubic root of 11270880 is about 224.2087764405.

The spelling of 11270880 in words is "eleven million, two hundred seventy thousand, eight hundred eighty".