11644080 has 160 divisors (see below), whose sum is σ = 42854400. Its totient is φ = 2558976.

The previous prime is 11644069. The next prime is 11644091. The reversal of 11644080 is 8044611.

It is an interprime number because it is at equal distance from previous prime (11644069) and next prime (11644091).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11644080.

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 31 ways as a sum of consecutive naturals, for example, 48601 + ... + 48839.

It is an arithmetic number, because the mean of its divisors is an integer number (267840).

Almost surely, 2^11644080 is an apocalyptic number.

11644080 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 11644080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21427200).

11644080 is an abundant number, since it is smaller than the sum of its proper divisors (31210320).

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

11644080 is a wasteful number, since it uses less digits than its factorization.

11644080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 11644080 is about 3412.3423040486. The cubic root of 11644080 is about 226.6566123952.

Adding to 11644080 its reverse (8044611), we get a palindrome (19688691).

The spelling of 11644080 in words is "eleven million, six hundred forty-four thousand, eighty".