11484160 has 44 divisors (see below), whose sum is σ = 27560808. Its totient is φ = 4591616.

The previous prime is 11484119. The next prime is 11484169. The reversal of 11484160 is 6148411.

It is a super-4 number, since 4×11484160⁴ (a number of 29 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11484169) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3999 + ... + 6241.

It is an arithmetic number, because the mean of its divisors is an integer number (626382).

Almost surely, 2^11484160 is an apocalyptic number.

11484160 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 11484160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13780404).

11484160 is an abundant number, since it is smaller than the sum of its proper divisors (16076648).

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

11484160 is an equidigital number, since it uses as much as digits as its factorization.

11484160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2268 (or 2250 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 11484160 is about 3388.8287062051. The cubic root of 11484160 is about 225.6141902112.

The spelling of 11484160 in words is "eleven million, four hundred eighty-four thousand, one hundred sixty".