11964160 has 72 divisors (see below), whose sum is σ = 30905280. Its totient is φ = 4411392.

The previous prime is 11964151. The next prime is 11964193. The reversal of 11964160 is 6146911.

It is a super-2 number, since 2×11964160² = 286282249011200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

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, 16281 + ... + 16999.

It is an arithmetic number, because the mean of its divisors is an integer number (429240).

Almost surely, 2^11964160 is an apocalyptic number.

11964160 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 11964160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15452640).

11964160 is an abundant number, since it is smaller than the sum of its proper divisors (18941120).

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

11964160 is an equidigital number, since it uses as much as digits as its factorization.

11964160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 11964160 is about 3458.9246883967. The cubic root of 11964160 is about 228.7146958963.

It can be divided in two parts, 1196 and 4160, that added together give a triangular number (5356 = T₁₀₃).

The spelling of 11964160 in words is "eleven million, nine hundred sixty-four thousand, one hundred sixty".