11652880 has 20 divisors (see below), whose sum is σ = 27093132. Its totient is φ = 4661120.

The previous prime is 11652877. The next prime is 11652887. The reversal of 11652880 is 8825611.

It can be written as a sum of positive squares in 2 ways, for example, as 3564544 + 8088336 = 1888^2 + 2844^2 .

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

It is a super-2 number, since 2×11652880² = 271579224588800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11652887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 72751 + ... + 72910.

Almost surely, 2^11652880 is an apocalyptic number.

11652880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11652880 is an abundant number, since it is smaller than the sum of its proper divisors (15440252).

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

11652880 is a wasteful number, since it uses less digits than its factorization.

11652880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145674 (or 145668 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 31.

The square root of 11652880 is about 3413.6314973939. The cubic root of 11652880 is about 226.7136965082.

The spelling of 11652880 in words is "eleven million, six hundred fifty-two thousand, eight hundred eighty".