14632640 has 56 divisors (see below), whose sum is σ = 38020752. Its totient is φ = 5319680.

The previous prime is 14632637. The next prime is 14632661. The reversal of 14632640 is 4623641.

14632640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×14632640² = 428228306739200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

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, 1442 + ... + 5598.

It is an arithmetic number, because the mean of its divisors is an integer number (678942).

Almost surely, 2^14632640 is an apocalyptic number.

14632640 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 14632640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19010376).

14632640 is an abundant number, since it is smaller than the sum of its proper divisors (23388112).

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

14632640 is a wasteful number, since it uses less digits than its factorization.

14632640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4185 (or 4175 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 14632640 is about 3825.2633896243. The cubic root of 14632640 is about 244.5912384288.

The spelling of 14632640 in words is "fourteen million, six hundred thirty-two thousand, six hundred forty".