13956600 has 96 divisors (see below), whose sum is σ = 49461120. Its totient is φ = 3189120.

The previous prime is 13956599. The next prime is 13956611. The reversal of 13956600 is 665931.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 2539 + ... + 5861.

It is an arithmetic number, because the mean of its divisors is an integer number (515220).

Almost surely, 2^13956600 is an apocalyptic number.

13956600 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 13956600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24730560).

13956600 is an abundant number, since it is smaller than the sum of its proper divisors (35504520).

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

13956600 is a wasteful number, since it uses less digits than its factorization.

13956600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3349 (or 3340 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 13956600 is about 3735.8533161782. The cubic root of 13956600 is about 240.7649205898.

The spelling of 13956600 in words is "thirteen million, nine hundred fifty-six thousand, six hundred".