11167680 has 56 divisors (see below), whose sum is σ = 35460432. Its totient is φ = 2977792.

The previous prime is 11167679. The next prime is 11167711. The reversal of 11167680 is 8676111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4857 + ... + 6776.

It is an arithmetic number, because the mean of its divisors is an integer number (633222).

Almost surely, 2^11167680 is an apocalyptic number.

11167680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11167680 is an abundant number, since it is smaller than the sum of its proper divisors (24292752).

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

11167680 is a wasteful number, since it uses less digits than its factorization.

11167680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11653 (or 11643 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 11167680 is about 3341.8078939400. The cubic root of 11167680 is about 223.5223666239.

The spelling of 11167680 in words is "eleven million, one hundred sixty-seven thousand, six hundred eighty".