11167992 has 96 divisors (see below), whose sum is σ = 33696000. Its totient is φ = 3312960.

The previous prime is 11167979. The next prime is 11168011. The reversal of 11167992 is 29976111.

11167992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46609 + ... + 46847.

It is an arithmetic number, because the mean of its divisors is an integer number (351000).

Almost surely, 2^11167992 is an apocalyptic number.

11167992 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 11167992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16848000).

11167992 is an abundant number, since it is smaller than the sum of its proper divisors (22528008).

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

11167992 is a wasteful number, since it uses less digits than its factorization.

11167992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 314 counting only the distinct ones).

The product of its digits is 6804, while the sum is 36.

The square root of 11167992 is about 3341.8545749329. The cubic root of 11167992 is about 223.5244481761.

The spelling of 11167992 in words is "eleven million, one hundred sixty-seven thousand, nine hundred ninety-two".