13314400 has 144 divisors (see below), whose sum is σ = 37966320. Its totient is φ = 4505600.

The previous prime is 13314377. The next prime is 13314437. The reversal of 13314400 is 441331.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 149556 + ... + 149644.

It is an arithmetic number, because the mean of its divisors is an integer number (263655).

Almost surely, 2^13314400 is an apocalyptic number.

13314400 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 13314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18983160).

13314400 is an abundant number, since it is smaller than the sum of its proper divisors (24651920).

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

13314400 is a wasteful number, since it uses less digits than its factorization.

13314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 13314400 is about 3648.8902422517. The cubic root of 13314400 is about 237.0139273863.

Adding to 13314400 its reverse (441331), we get a palindrome (13755731).

It can be divided in two parts, 1331 and 4400, that multiplied together give a square (5856400 = 2420²).

The spelling of 13314400 in words is "thirteen million, three hundred fourteen thousand, four hundred".