13963872 has 96 divisors (see below), whose sum is σ = 40303872. Its totient is φ = 4207104.

The previous prime is 13963871. The next prime is 13963889. The reversal of 13963872 is 27836931.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (54432) is a multiple of the sum of its prime divisors (252).

It is a self number, because there is not a number n which added to its sum of digits gives 13963872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13963871) 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, 83533 + ... + 83699.

It is an arithmetic number, because the mean of its divisors is an integer number (419832).

Almost surely, 2^13963872 is an apocalyptic number.

13963872 is a gapful number since it is divisible by the number (12) 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 13963872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20151936).

13963872 is an abundant number, since it is smaller than the sum of its proper divisors (26340000).

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

13963872 is a wasteful number, since it uses less digits than its factorization.

13963872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 252 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 13963872 is about 3736.8264610495. The cubic root of 13963872 is about 240.8067296861.

The spelling of 13963872 in words is "thirteen million, nine hundred sixty-three thousand, eight hundred seventy-two".