14642964 has 72 divisors (see below), whose sum is σ = 44177280. Its totient is φ = 4182192.

The previous prime is 14642959. The next prime is 14642983. The reversal of 14642964 is 46924641.

14642964 is a `hidden beast` number, since 1 + 4 + 642 + 9 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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, 3909 + ... + 6675.

Almost surely, 2^14642964 is an apocalyptic number.

14642964 is a gapful number since it is divisible by the number (14) 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 14642964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22088640).

14642964 is an abundant number, since it is smaller than the sum of its proper divisors (29534316).

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

14642964 is a wasteful number, since it uses less digits than its factorization.

14642964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2794 (or 2779 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 14642964 is about 3826.6126012441. The cubic root of 14642964 is about 244.6487483588.

The spelling of 14642964 in words is "fourteen million, six hundred forty-two thousand, nine hundred sixty-four".