13960800 has 216 divisors, whose sum is σ = 56465136. Its totient is φ = 3179520.

The previous prime is 13960789. The next prime is 13960841. The reversal of 13960800 is 806931.

It is a congruent number.

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, 50262 + ... + 50538.

Almost surely, 2^13960800 is an apocalyptic number.

13960800 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 13960800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28232568).

13960800 is an abundant number, since it is smaller than the sum of its proper divisors (42504336).

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

13960800 is a wasteful number, since it uses less digits than its factorization.

13960800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 13960800 is about 3736.4153944657. The cubic root of 13960800 is about 240.7890695288.

The spelling of 13960800 in words is "thirteen million, nine hundred sixty thousand, eight hundred".