13964040 has 96 divisors (see below), whose sum is σ = 46051200. Its totient is φ = 3669120.

The previous prime is 13964033. The next prime is 13964057. The reversal of 13964040 is 4046931.

13964040 is a `hidden beast` number, since 13 + 9 + 640 + 4 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13963995 and 13964013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28195 + ... + 28685.

It is an arithmetic number, because the mean of its divisors is an integer number (479700).

Almost surely, 2^13964040 is an apocalyptic number.

13964040 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 13964040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23025600).

13964040 is an abundant number, since it is smaller than the sum of its proper divisors (32087160).

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

13964040 is a wasteful number, since it uses less digits than its factorization.

13964040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 13964040 is about 3736.8489399493. The cubic root of 13964040 is about 240.8076954013.

The spelling of 13964040 in words is "thirteen million, nine hundred sixty-four thousand, forty".