14912640 has 128 divisors (see below), whose sum is σ = 52876800. Its totient is φ = 3972096.

The previous prime is 14912633. The next prime is 14912713. The reversal of 14912640 is 4621941.

14912640 is a `hidden beast` number, since 1 + 4 + 9 + 12 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16849 + ... + 17711.

It is an arithmetic number, because the mean of its divisors is an integer number (413100).

Almost surely, 2^14912640 is an apocalyptic number.

14912640 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 14912640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26438400).

14912640 is an abundant number, since it is smaller than the sum of its proper divisors (37964160).

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

14912640 is an equidigital number, since it uses as much as digits as its factorization.

14912640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 14912640 is about 3861.6887497570. The cubic root of 14912640 is about 246.1415009834.

The spelling of 14912640 in words is "fourteen million, nine hundred twelve thousand, six hundred forty".