13314672 has 240 divisors, whose sum is σ = 48345120. Its totient is φ = 3483648.

The previous prime is 13314659. The next prime is 13314673. The reversal of 13314672 is 27641331.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13314673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 359838 + ... + 359874.

It is an arithmetic number, because the mean of its divisors is an integer number (201438).

Almost surely, 2^13314672 is an apocalyptic number.

13314672 is a gapful number since it is divisible by the number (12) 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 13314672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24172560).

13314672 is an abundant number, since it is smaller than the sum of its proper divisors (35030448).

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

13314672 is a wasteful number, since it uses less digits than its factorization.

13314672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 66 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 13314672 is about 3648.9275136675. The cubic root of 13314672 is about 237.0155413619.

The spelling of 13314672 in words is "thirteen million, three hundred fourteen thousand, six hundred seventy-two".