11167920 has 60 divisors (see below), whose sum is σ = 37508016. Its totient is φ = 2977920.

The previous prime is 11167913. The next prime is 11167921. The reversal of 11167920 is 2976111.

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (11167921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7036 + ... + 8475.

Almost surely, 2^11167920 is an apocalyptic number.

11167920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11167920 is an abundant number, since it is smaller than the sum of its proper divisors (26340096).

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

11167920 is a wasteful number, since it uses less digits than its factorization.

11167920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15530 (or 15521 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 11167920 is about 3341.8438024540. The cubic root of 11167920 is about 223.5239678214.

The spelling of 11167920 in words is "eleven million, one hundred sixty-seven thousand, nine hundred twenty".