11880192 has 72 divisors (see below), whose sum is σ = 32704000. Its totient is φ = 3824640.

The previous prime is 11880179. The next prime is 11880203. The reversal of 11880192 is 29108811.

It is a super-2 number, since 2×11880192² = 282277923913728, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23559 + ... + 24057.

Almost surely, 2^11880192 is an apocalyptic number.

11880192 is a gapful number since it is divisible by the number (12) 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 11880192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16352000).

11880192 is an abundant number, since it is smaller than the sum of its proper divisors (20823808).

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

11880192 is an equidigital number, since it uses as much as digits as its factorization.

11880192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 30.

The square root of 11880192 is about 3446.7654402352. The cubic root of 11880192 is about 228.1783768762.

The spelling of 11880192 in words is "eleven million, eight hundred eighty thousand, one hundred ninety-two".