11879296 has 96 divisors (see below), whose sum is σ = 28488600. Its totient is φ = 4899840.

The previous prime is 11879291. The next prime is 11879303. The reversal of 11879296 is 69297811.

It is a super-2 number, since 2×11879296² = 282235346911232, which contains 22 as substring.

Its product of digits (54432) is a multiple of the sum of its prime factors (108).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11879291) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 201315 + ... + 201373.

Almost surely, 2^11879296 is an apocalyptic number.

11879296 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 11879296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14244300).

11879296 is an abundant number, since it is smaller than the sum of its proper divisors (16609304).

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

11879296 is a wasteful number, since it uses less digits than its factorization.

11879296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 85 counting only the distinct ones).

The product of its digits is 54432, while the sum is 43.

The square root of 11879296 is about 3446.6354608516. The cubic root of 11879296 is about 228.1726403537.

The spelling of 11879296 in words is "eleven million, eight hundred seventy-nine thousand, two hundred ninety-six".