13710400 has 168 divisors, whose sum is σ = 39684960. Its totient is φ = 4608000.

The previous prime is 13710397. The next prime is 13710413. The reversal of 13710400 is 401731.

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

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, 334380 + ... + 334420.

It is an arithmetic number, because the mean of its divisors is an integer number (236220).

Almost surely, 2^13710400 is an apocalyptic number.

13710400 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 13710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19842480).

13710400 is an abundant number, since it is smaller than the sum of its proper divisors (25974560).

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

13710400 is a wasteful number, since it uses less digits than its factorization.

13710400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 13710400 is about 3702.7557305337. The cubic root of 13710400 is about 239.3407835574.

The spelling of 13710400 in words is "thirteen million, seven hundred ten thousand, four hundred".