11667360 has 96 divisors (see below), whose sum is σ = 37255680. Its totient is φ = 3068928.

The previous prime is 11667353. The next prime is 11667361. The reversal of 11667360 is 6376611.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×11667360² = 272254578739200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11667361) 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, 52209 + ... + 52431.

It is an arithmetic number, because the mean of its divisors is an integer number (388080).

Almost surely, 2^11667360 is an apocalyptic number.

11667360 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 11667360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18627840).

11667360 is an abundant number, since it is smaller than the sum of its proper divisors (25588320).

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

11667360 is a wasteful number, since it uses less digits than its factorization.

11667360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 11667360 is about 3415.7517474196. The cubic root of 11667360 is about 226.8075633036.

It can be divided in two parts, 116 and 67360, that added together give a palindrome (67476).

The spelling of 11667360 in words is "eleven million, six hundred sixty-seven thousand, three hundred sixty".