14864640 has 216 divisors, whose sum is σ = 55923840. Its totient is φ = 3354624.

The previous prime is 14864611. The next prime is 14864653. The reversal of 14864640 is 4646841.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188121 + ... + 188199.

Almost surely, 2^14864640 is an apocalyptic number.

14864640 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 14864640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27961920).

14864640 is an abundant number, since it is smaller than the sum of its proper divisors (41059200).

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

14864640 is an equidigital number, since it uses as much as digits as its factorization.

14864640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 14864640 is about 3855.4688430851. The cubic root of 14864640 is about 245.8771281419.

The spelling of 14864640 in words is "fourteen million, eight hundred sixty-four thousand, six hundred forty".