13998400 has 84 divisors (see below), whose sum is σ = 37149532. Its totient is φ = 5160960.

The previous prime is 13998353. The next prime is 13998427. The reversal of 13998400 is 489931.

It can be written as a sum of positive squares in 6 ways, for example, as 2383936 + 11614464 = 1544^2 + 3408^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20464 + ... + 21136.

Almost surely, 2^13998400 is an apocalyptic number.

13998400 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 13998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18574766).

13998400 is an abundant number, since it is smaller than the sum of its proper divisors (23151132).

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

13998400 is a wasteful number, since it uses less digits than its factorization.

13998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 13998400 is about 3741.4435716712. The cubic root of 13998400 is about 241.0050445734.

The spelling of 13998400 in words is "thirteen million, nine hundred ninety-eight thousand, four hundred".