13964640 has 96 divisors (see below), whose sum is σ = 44997120. Its totient is φ = 3638784.

The previous prime is 13964627. The next prime is 13964659. The reversal of 13964640 is 4646931.

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

It is a super-2 number, since 2×13964640² = 390022340659200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22251 + ... + 22869.

It is an arithmetic number, because the mean of its divisors is an integer number (468720).

Almost surely, 2^13964640 is an apocalyptic number.

13964640 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 13964640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22498560).

13964640 is an abundant number, since it is smaller than the sum of its proper divisors (31032480).

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

13964640 is a wasteful number, since it uses less digits than its factorization.

13964640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 13964640 is about 3736.9292206302. The cubic root of 13964640 is about 240.8111443207.

The spelling of 13964640 in words is "thirteen million, nine hundred sixty-four thousand, six hundred forty".