11879136 has 60 divisors (see below), whose sum is σ = 34943832. Its totient is φ = 3958848.

The previous prime is 11879129. The next prime is 11879143. The reversal of 11879136 is 63197811.

It is an interprime number because it is at equal distance from previous prime (11879129) and next prime (11879143).

It is a super-2 number, since 2×11879136² = 282227744212992, which contains 22 as substring.

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 11879136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 301 + ... + 4883.

Almost surely, 2^11879136 is an apocalyptic number.

11879136 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 11879136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17471916).

11879136 is an abundant number, since it is smaller than the sum of its proper divisors (23064696).

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

11879136 is an equidigital number, since it uses as much as digits as its factorization.

11879136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4605 (or 4588 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 11879136 is about 3446.6122497316. The cubic root of 11879136 is about 228.1716159444.

The spelling of 11879136 in words is "eleven million, eight hundred seventy-nine thousand, one hundred thirty-six".