14642640 has 80 divisors (see below), whose sum is σ = 50443200. Its totient is φ = 3904128.

The previous prime is 14642603. The next prime is 14642657. The reversal of 14642640 is 4624641.

14642640 is a `hidden beast` number, since 14 + 6 + 4 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

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, 1230 + ... + 5549.

It is an arithmetic number, because the mean of its divisors is an integer number (630540).

Almost surely, 2^14642640 is an apocalyptic number.

14642640 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 14642640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25221600).

14642640 is an abundant number, since it is smaller than the sum of its proper divisors (35800560).

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

14642640 is a wasteful number, since it uses less digits than its factorization.

14642640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6801 (or 6789 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 14642640 is about 3826.5702659170. The cubic root of 14642640 is about 244.6469439250.

The spelling of 14642640 in words is "fourteen million, six hundred forty-two thousand, six hundred forty".