11868792 has 64 divisors (see below), whose sum is σ = 32340000. Its totient is φ = 3608064.

The previous prime is 11868781. The next prime is 11868799. The reversal of 11868792 is 29786811.

11868792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11868799) 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, 33834 + ... + 34182.

Almost surely, 2^11868792 is an apocalyptic number.

11868792 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 11868792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16170000).

11868792 is an abundant number, since it is smaller than the sum of its proper divisors (20471208).

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

11868792 is a wasteful number, since it uses less digits than its factorization.

11868792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 476 counting only the distinct ones).

The product of its digits is 48384, while the sum is 42.

The square root of 11868792 is about 3445.1113189562. Note that the first 3 decimals coincide. The cubic root of 11868792 is about 228.1053683488.

The spelling of 11868792 in words is "eleven million, eight hundred sixty-eight thousand, seven hundred ninety-two".