11874320 has 20 divisors (see below), whose sum is σ = 27607980. Its totient is φ = 4749696.

The previous prime is 11874319. The next prime is 11874329. The reversal of 11874320 is 2347811.

It can be written as a sum of positive squares in 2 ways, for example, as 3041536 + 8832784 = 1744^2 + 2972^2 .

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 11874320.

It is not an unprimeable number, because it can be changed into a prime (11874329) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 74135 + ... + 74294.

It is an arithmetic number, because the mean of its divisors is an integer number (1380399).

Almost surely, 2^11874320 is an apocalyptic number.

11874320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11874320 is an abundant number, since it is smaller than the sum of its proper divisors (15733660).

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

11874320 is a wasteful number, since it uses less digits than its factorization.

11874320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148442 (or 148436 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 11874320 is about 3445.9135218400. The cubic root of 11874320 is about 228.1407769160.

The spelling of 11874320 in words is "eleven million, eight hundred seventy-four thousand, three hundred twenty".