14642320 has 80 divisors (see below), whose sum is σ = 42461568. Its totient is φ = 4561920.

The previous prime is 14642281. The next prime is 14642347. The reversal of 14642320 is 2324641.

It is a happy number.

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 (22).

It is a junction number, because it is equal to n+sod(n) for n = 14642291 and 14642300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4972 + ... + 7348.

Almost surely, 2^14642320 is an apocalyptic number.

14642320 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 14642320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21230784).

14642320 is an abundant number, since it is smaller than the sum of its proper divisors (27819248).

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

14642320 is a wasteful number, since it uses less digits than its factorization.

14642320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2408 (or 2402 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 14642320 is about 3826.5284527885. The cubic root of 14642320 is about 244.6451617420.

Adding to 14642320 its reverse (2324641), we get a palindrome (16966961).

The spelling of 14642320 in words is "fourteen million, six hundred forty-two thousand, three hundred twenty".