11722880 has 64 divisors (see below), whose sum is σ = 30202200. Its totient is φ = 4325376.

The previous prime is 11722871. The next prime is 11722901. The reversal of 11722880 is 8822711.

It can be written as a sum of positive squares in 4 ways, for example, as 3474496 + 8248384 = 1864^2 + 2872^2 .

It is a tau number, because it is divible by the number of its divisors (64).

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, 7616 + ... + 9024.

Almost surely, 2^11722880 is an apocalyptic number.

11722880 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 11722880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15101100).

11722880 is an abundant number, since it is smaller than the sum of its proper divisors (18479320).

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

11722880 is a wasteful number, since it uses less digits than its factorization.

11722880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1441 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 29.

The square root of 11722880 is about 3423.8691563785. The cubic root of 11722880 is about 227.1667543764.

The spelling of 11722880 in words is "eleven million, seven hundred twenty-two thousand, eight hundred eighty".