11884160 has 64 divisors (see below), whose sum is σ = 29376000. Its totient is φ = 4592640.

The previous prime is 11884157. The next prime is 11884199. The reversal of 11884160 is 6148811.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19541 + ... + 20139.

It is an arithmetic number, because the mean of its divisors is an integer number (459000).

Almost surely, 2^11884160 is an apocalyptic number.

11884160 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 11884160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14688000).

11884160 is an abundant number, since it is smaller than the sum of its proper divisors (17491840).

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

11884160 is an equidigital number, since it uses as much as digits as its factorization.

11884160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 29.

The square root of 11884160 is about 3447.3410043104. The cubic root of 11884160 is about 228.2037780093.

The spelling of 11884160 in words is "eleven million, eight hundred eighty-four thousand, one hundred sixty".