13712400 has 180 divisors, whose sum is σ = 51421188. Its totient is φ = 3363840.

The previous prime is 13712383. The next prime is 13712401. The reversal of 13712400 is 421731.

It can be written as a sum of positive squares in 6 ways, for example, as 51984 + 13660416 = 228^2 + 3696^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13712401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46654 + ... + 46946.

Almost surely, 2^13712400 is an apocalyptic number.

13712400 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 13712400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25710594).

13712400 is an abundant number, since it is smaller than the sum of its proper divisors (37708788).

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

13712400 is a wasteful number, since it uses less digits than its factorization.

13712400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 13712400 is about 3703.0257898103. The cubic root of 13712400 is about 239.3524209104.

The spelling of 13712400 in words is "thirteen million, seven hundred twelve thousand, four hundred".