11879500 has 48 divisors (see below), whose sum is σ = 27099072. Its totient is φ = 4540800.

The previous prime is 11879459. The next prime is 11879501. The reversal of 11879500 is 597811.

It is a super-2 number, since 2×11879500² = 282245040500000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (11879501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10984 + ... + 12016.

It is an arithmetic number, because the mean of its divisors is an integer number (564564).

Almost surely, 2^11879500 is an apocalyptic number.

11879500 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 11879500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13549536).

11879500 is an abundant number, since it is smaller than the sum of its proper divisors (15219572).

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

11879500 is a wasteful number, since it uses less digits than its factorization.

11879500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 31.

The square root of 11879500 is about 3446.6650548030. The cubic root of 11879500 is about 228.1739464623.

The spelling of 11879500 in words is "eleven million, eight hundred seventy-nine thousand, five hundred".