11917280 has 48 divisors (see below), whose sum is σ = 28368144. Its totient is φ = 4730880.

The previous prime is 11917277. The next prime is 11917291. The reversal of 11917280 is 8271911.

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, 33584 + ... + 33936.

It is an arithmetic number, because the mean of its divisors is an integer number (591003).

Almost surely, 2^11917280 is an apocalyptic number.

11917280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11917280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14184072).

11917280 is an abundant number, since it is smaller than the sum of its proper divisors (16450864).

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

11917280 is a wasteful number, since it uses less digits than its factorization.

11917280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 29.

The square root of 11917280 is about 3452.1413644288. The cubic root of 11917280 is about 228.4155753020.

The spelling of 11917280 in words is "eleven million, nine hundred seventeen thousand, two hundred eighty".