14736640 has 72 divisors (see below), whose sum is σ = 36608040. Its totient is φ = 5677056.

The previous prime is 14736599. The next prime is 14736697. The reversal of 14736640 is 4663741.

It can be written as a sum of positive squares in 4 ways, for example, as 2458624 + 12278016 = 1568^2 + 3504^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36922 + ... + 37318.

It is an arithmetic number, because the mean of its divisors is an integer number (508445).

It is a vampire number, since it can be written as 3176 ⋅ 4640 (with its own digits).

Almost surely, 2^14736640 is an apocalyptic number.

14736640 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 14736640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18304020).

14736640 is an abundant number, since it is smaller than the sum of its proper divisors (21871400).

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

14736640 is an equidigital number, since it uses as much as digits as its factorization.

14736640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 14736640 is about 3838.8331560515. The cubic root of 14736640 is about 245.1693400985.

It can be divided in two parts, 14736 and 640, that added together give a square (15376 = 124²).

The spelling of 14736640 in words is "fourteen million, seven hundred thirty-six thousand, six hundred forty".