11692880 has 20 divisors (see below), whose sum is σ = 27186132. Its totient is φ = 4677120.

The previous prime is 11692873. The next prime is 11692883. The reversal of 11692880 is 8829611.

It can be written as a sum of positive squares in 2 ways, for example, as 6512704 + 5180176 = 2552^2 + 2276^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 11692880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11692883) 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, 73001 + ... + 73160.

Almost surely, 2^11692880 is an apocalyptic number.

11692880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11692880 is an abundant number, since it is smaller than the sum of its proper divisors (15493252).

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

11692880 is a wasteful number, since it uses less digits than its factorization.

11692880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146174 (or 146168 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 35.

The square root of 11692880 is about 3419.4853413928. The cubic root of 11692880 is about 226.9728081695.

The spelling of 11692880 in words is "eleven million, six hundred ninety-two thousand, eight hundred eighty".