13958640 has 60 divisors (see below), whose sum is σ = 46880184. Its totient is φ = 3722112.

The previous prime is 13958629. The next prime is 13958641. The reversal of 13958640 is 4685931.

13958640 is a `hidden beast` number, since 1 + 3 + 9 + 5 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13958595 and 13958604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13958641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8974 + ... + 10413.

Almost surely, 2^13958640 is an apocalyptic number.

13958640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13958640 is an abundant number, since it is smaller than the sum of its proper divisors (32921544).

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

13958640 is a wasteful number, since it uses less digits than its factorization.

13958640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19406 (or 19397 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 13958640 is about 3736.1263361937. The cubic root of 13958640 is about 240.7766506795.

The spelling of 13958640 in words is "thirteen million, nine hundred fifty-eight thousand, six hundred forty".