14729364 has 90 divisors (see below), whose sum is σ = 41850270. Its totient is φ = 4515264.

The previous prime is 14729359. The next prime is 14729369. The reversal of 14729364 is 46392741.

It is an interprime number because it is at equal distance from previous prime (14729359) and next prime (14729369).

It can be written as a sum of positive squares in 3 ways, for example, as 980100 + 13749264 = 990^2 + 3708^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14729369) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 54622 + ... + 54890.

It is an arithmetic number, because the mean of its divisors is an integer number (465003).

Almost surely, 2^14729364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14729364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20925135).

14729364 is an abundant number, since it is smaller than the sum of its proper divisors (27120906).

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

14729364 is a wasteful number, since it uses less digits than its factorization.

14729364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 287 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 14729364 is about 3837.8853552445. The cubic root of 14729364 is about 245.1289838666.

The spelling of 14729364 in words is "fourteen million, seven hundred twenty-nine thousand, three hundred sixty-four".