11802880 has 36 divisors (see below), whose sum is σ = 28274652. Its totient is φ = 4720640.

The previous prime is 11802877. The next prime is 11802883. The reversal of 11802880 is 8820811.

It is an interprime number because it is at equal distance from previous prime (11802877) and next prime (11802883).

It can be written as a sum of positive squares in 2 ways, for example, as 7929856 + 3873024 = 2816^2 + 1968^2 .

It is not an unprimeable number, because it can be changed into a prime (11802883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3331 + ... + 5890.

It is an arithmetic number, because the mean of its divisors is an integer number (785407).

Almost surely, 2^11802880 is an apocalyptic number.

11802880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11802880 is an abundant number, since it is smaller than the sum of its proper divisors (16471772).

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

11802880 is an frugal number, since it uses more digits than its factorization.

11802880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9242 (or 9228 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 28.

The square root of 11802880 is about 3435.5319820953. The cubic root of 11802880 is about 227.6823317912.

The spelling of 11802880 in words is "eleven million, eight hundred two thousand, eight hundred eighty".