13965600 has 216 divisors, whose sum is σ = 51840432. Its totient is φ = 3238400.

The previous prime is 13965599. The next prime is 13965631. The reversal of 13965600 is 656931.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 607189 + ... + 607211.

It is an arithmetic number, because the mean of its divisors is an integer number (240002).

Almost surely, 2^13965600 is an apocalyptic number.

13965600 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 13965600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25920216).

13965600 is an abundant number, since it is smaller than the sum of its proper divisors (37874832).

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

13965600 is a wasteful number, since it uses less digits than its factorization.

13965600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 44 counting only the distinct ones).

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

The square root of 13965600 is about 3737.0576661325. The cubic root of 13965600 is about 240.8166623864.

It can be divided in two parts, 1396 and 5600, that added together give a palindrome (6996).

The spelling of 13965600 in words is "thirteen million, nine hundred sixty-five thousand, six hundred".