11379456 has 108 divisors (see below), whose sum is σ = 35872200. Its totient is φ = 3440640.

The previous prime is 11379419. The next prime is 11379469. The reversal of 11379456 is 65497311.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11379456.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25120 + ... + 25568.

It is an arithmetic number, because the mean of its divisors is an integer number (332150).

Almost surely, 2^11379456 is an apocalyptic number.

11379456 is a gapful number since it is divisible by the number (16) 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 11379456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17936100).

11379456 is an abundant number, since it is smaller than the sum of its proper divisors (24492744).

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

11379456 is a wasteful number, since it uses less digits than its factorization.

11379456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 465 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 11379456 is about 3373.3449275163. The cubic root of 11379456 is about 224.9264352095.

The spelling of 11379456 in words is "eleven million, three hundred seventy-nine thousand, four hundred fifty-six".