11874980 has 24 divisors (see below), whose sum is σ = 26856312. Its totient is φ = 4384512.

The previous prime is 11874979. The next prime is 11875001. The reversal of 11874980 is 8947811.

It can be written as a sum of positive squares in 4 ways, for example, as 1737124 + 10137856 = 1318^2 + 3184^2 .

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 22577 + ... + 23096.

It is an arithmetic number, because the mean of its divisors is an integer number (1119013).

Almost surely, 2^11874980 is an apocalyptic number.

11874980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11874980 is an abundant number, since it is smaller than the sum of its proper divisors (14981332).

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

11874980 is a wasteful number, since it uses less digits than its factorization.

11874980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45695 (or 45693 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 38.

The square root of 11874980 is about 3446.0092861163. The cubic root of 11874980 is about 228.1450036878.

The spelling of 11874980 in words is "eleven million, eight hundred seventy-four thousand, nine hundred eighty".