11879600 has 60 divisors (see below), whose sum is σ = 30236904. Its totient is φ = 4469760.

The previous prime is 11879599. The next prime is 11879629. The reversal of 11879600 is 697811.

It is a super-2 number, since 2×11879600² = 282249792320000, which contains 22 as substring.

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, 5927 + ... + 7673.

Almost surely, 2^11879600 is an apocalyptic number.

11879600 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 11879600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15118452).

11879600 is an abundant number, since it is smaller than the sum of its proper divisors (18357304).

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

11879600 is a wasteful number, since it uses less digits than its factorization.

11879600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1782 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 32.

The square root of 11879600 is about 3446.6795615491. The cubic root of 11879600 is about 228.1745867062.

The spelling of 11879600 in words is "eleven million, eight hundred seventy-nine thousand, six hundred".