11379264 has 112 divisors (see below), whose sum is σ = 33454848. Its totient is φ = 3391488.

The previous prime is 11379257. The next prime is 11379287. The reversal of 11379264 is 46297311.

It is a super-3 number, since 3×11379264³ (a number of 22 digits) contains 333 as substring.

Its product of digits (9072) is a multiple of the sum of its prime divisors (162).

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117264 + ... + 117360.

It is an arithmetic number, because the mean of its divisors is an integer number (298704).

Almost surely, 2^11379264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11379264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16727424).

11379264 is an abundant number, since it is smaller than the sum of its proper divisors (22075584).

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

11379264 is a wasteful number, since it uses less digits than its factorization.

11379264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 162 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 11379264 is about 3373.3164689961. The cubic root of 11379264 is about 224.9251701778.

It can be divided in two parts, 1137 and 9264, that added together give a palindrome (10401).

The spelling of 11379264 in words is "eleven million, three hundred seventy-nine thousand, two hundred sixty-four".