13964160 has 128 divisors (see below), whose sum is σ = 50918400. Its totient is φ = 3188736.

The previous prime is 13964147. The next prime is 13964161. The reversal of 13964160 is 6146931.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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 (13964161) 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, 12921 + ... + 13959.

It is an arithmetic number, because the mean of its divisors is an integer number (397800).

Almost surely, 2^13964160 is an apocalyptic number.

13964160 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 13964160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25459200).

13964160 is an abundant number, since it is smaller than the sum of its proper divisors (36954240).

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

13964160 is a wasteful number, since it uses less digits than its factorization.

13964160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 13964160 is about 3736.8649962234. The cubic root of 13964160 is about 240.8083851931.

The spelling of 13964160 in words is "thirteen million, nine hundred sixty-four thousand, one hundred sixty".