14742336 has 84 divisors (see below), whose sum is σ = 45403008. Its totient is φ = 4209408.

The previous prime is 14742331. The next prime is 14742341. The reversal of 14742336 is 63324741.

It is an interprime number because it is at equal distance from previous prime (14742331) and next prime (14742341).

It is a tau number, because it is divible by the number of its divisors (84).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14742331) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8625 + ... + 10191.

It is an arithmetic number, because the mean of its divisors is an integer number (540512).

Almost surely, 2^14742336 is an apocalyptic number.

14742336 is a gapful number since it is divisible by the number (16) 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 14742336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22701504).

14742336 is an abundant number, since it is smaller than the sum of its proper divisors (30660672).

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

14742336 is a wasteful number, since it uses less digits than its factorization.

14742336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1596 (or 1579 counting only the distinct ones).

The product of its digits is 12096, while the sum is 30.

The square root of 14742336 is about 3839.5749764785. The cubic root of 14742336 is about 245.2009236136.

The spelling of 14742336 in words is "fourteen million, seven hundred forty-two thousand, three hundred thirty-six".