13716000 has 192 divisors, whose sum is σ = 50319360. Its totient is φ = 3628800.

The previous prime is 13715987. The next prime is 13716007. The reversal of 13716000 is 61731.

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 (13716007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107937 + ... + 108063.

It is an arithmetic number, because the mean of its divisors is an integer number (262080).

Almost surely, 2^13716000 is an apocalyptic number.

13716000 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 13716000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25159680).

13716000 is an abundant number, since it is smaller than the sum of its proper divisors (36603360).

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

13716000 is a wasteful number, since it uses less digits than its factorization.

13716000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 13716000 is about 3703.5118468826. The cubic root of 13716000 is about 239.3733652946.

Adding to 13716000 its reverse (61731), we get a palindrome (13777731).

The spelling of 13716000 in words is "thirteen million, seven hundred sixteen thousand".