11167720 has 32 divisors (see below), whose sum is σ = 25417800. Its totient is φ = 4415488.

The previous prime is 11167711. The next prime is 11167727. The reversal of 11167720 is 2776111.

It can be written as a sum of positive squares in 4 ways, for example, as 10458756 + 708964 = 3234^2 + 842^2 .

It is not an unprimeable number, because it can be changed into a prime (11167727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1992 + ... + 5128.

Almost surely, 2^11167720 is an apocalyptic number.

11167720 is a gapful number since it is divisible by the number (10) 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 11167720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12708900).

11167720 is an abundant number, since it is smaller than the sum of its proper divisors (14250080).

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

11167720 is a wasteful number, since it uses less digits than its factorization.

11167720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3237 (or 3233 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 25.

The square root of 11167720 is about 3341.8138787192. The cubic root of 11167720 is about 223.5226334917.

It can be divided in two parts, 1116 and 7720, that added together give a square (8836 = 94²).

The spelling of 11167720 in words is "eleven million, one hundred sixty-seven thousand, seven hundred twenty".