13963964 has 36 divisors (see below), whose sum is σ = 28972944. Its totient is φ = 5768448.

The previous prime is 13963931. The next prime is 13963973. The reversal of 13963964 is 46936931.

13963964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23252 + ... + 23844.

It is an arithmetic number, because the mean of its divisors is an integer number (804804).

Almost surely, 2^13963964 is an apocalyptic number.

13963964 is a gapful number since it is divisible by the number (14) 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 13963964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14486472).

13963964 is an abundant number, since it is smaller than the sum of its proper divisors (15008980).

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

13963964 is a wasteful number, since it uses less digits than its factorization.

13963964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 631 counting only the distinct ones).

The product of its digits is 104976, while the sum is 41.

The square root of 13963964 is about 3736.8387709400. The cubic root of 13963964 is about 240.8072585311.

The spelling of 13963964 in words is "thirteen million, nine hundred sixty-three thousand, nine hundred sixty-four".