11522880 has 84 divisors (see below), whose sum is σ = 39643812. Its totient is φ = 3072000.

The previous prime is 11522879. The next prime is 11522881. The reversal of 11522880 is 8822511.

11522880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11522879) and next prime (11522881).

It can be written as a sum of positive squares in 2 ways, for example, as 1937664 + 9585216 = 1392^2 + 3096^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11522881) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 880 + ... + 4880.

Almost surely, 2^11522880 is an apocalyptic number.

11522880 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 11522880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19821906).

11522880 is an abundant number, since it is smaller than the sum of its proper divisors (28120932).

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

11522880 is a wasteful number, since it uses less digits than its factorization.

11522880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4024 (or 4011 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 11522880 is about 3394.5367872509. The cubic root of 11522880 is about 225.8674660838.

The spelling of 11522880 in words is "eleven million, five hundred twenty-two thousand, eight hundred eighty".