11420880 has 80 divisors (see below), whose sum is σ = 36961920. Its totient is φ = 2911744.

The previous prime is 11420879. The next prime is 11420891. The reversal of 11420880 is 8802411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11420880.

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, 4486 + ... + 6554.

It is an arithmetic number, because the mean of its divisors is an integer number (462024).

Almost surely, 2^11420880 is an apocalyptic number.

11420880 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 11420880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18480960).

11420880 is an abundant number, since it is smaller than the sum of its proper divisors (25541040).

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

11420880 is a wasteful number, since it uses less digits than its factorization.

11420880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2108 (or 2102 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 11420880 is about 3379.4792498253. The cubic root of 11420880 is about 225.1990337605.

The spelling of 11420880 in words is "eleven million, four hundred twenty thousand, eight hundred eighty".