11364880 has 20 divisors (see below), whose sum is σ = 26423532. Its totient is φ = 4545920.

The previous prime is 11364853. The next prime is 11364887. The reversal of 11364880 is 8846311.

It can be written as a sum of positive squares in 2 ways, for example, as 6471936 + 4892944 = 2544^2 + 2212^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (11364887) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 70951 + ... + 71110.

Almost surely, 2^11364880 is an apocalyptic number.

11364880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11364880 is an abundant number, since it is smaller than the sum of its proper divisors (15058652).

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

11364880 is a wasteful number, since it uses less digits than its factorization.

11364880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142074 (or 142068 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 11364880 is about 3371.1837683520. The cubic root of 11364880 is about 224.8303577244.

Subtracting from 11364880 its reverse (8846311), we obtain a square (2518569 = 1587²).

The spelling of 11364880 in words is "eleven million, three hundred sixty-four thousand, eight hundred eighty".