14693120 has 72 divisors (see below), whose sum is σ = 37944816. Its totient is φ = 5419008.

The previous prime is 14693089. The next prime is 14693123. The reversal of 14693120 is 2139641.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 14693120.

It is not an unprimeable number, because it can be changed into a prime (14693123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16199 + ... + 17081.

Almost surely, 2^14693120 is an apocalyptic number.

14693120 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 14693120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18972408).

14693120 is an abundant number, since it is smaller than the sum of its proper divisors (23251696).

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

14693120 is an equidigital number, since it uses as much as digits as its factorization.

14693120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 14693120 is about 3833.1605758173. The cubic root of 14693120 is about 244.9277587925.

The spelling of 14693120 in words is "fourteen million, six hundred ninety-three thousand, one hundred twenty".