11836880 has 40 divisors (see below), whose sum is σ = 30024864. Its totient is φ = 4304000.

The previous prime is 11836859. The next prime is 11836919. The reversal of 11836880 is 8863811.

It is a happy number.

11836880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×11836880² = 280223456268800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11836880.

It is a congruent number.

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, 5846 + ... + 7605.

Almost surely, 2^11836880 is an apocalyptic number.

11836880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11836880 is an abundant number, since it is smaller than the sum of its proper divisors (18187984).

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

11836880 is a wasteful number, since it uses less digits than its factorization.

11836880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13475 (or 13469 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 35.

The square root of 11836880 is about 3440.4767111550. The cubic root of 11836880 is about 227.9007467859.

The spelling of 11836880 in words is "eleven million, eight hundred thirty-six thousand, eight hundred eighty".