14969920 has 112 divisors (see below), whose sum is σ = 41989248. Its totient is φ = 4976640.

The previous prime is 14969909. The next prime is 14969921. The reversal of 14969920 is 2996941.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (14969921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91759 + ... + 91921.

It is an arithmetic number, because the mean of its divisors is an integer number (374904).

Almost surely, 2^14969920 is an apocalyptic number.

14969920 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 14969920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20994624).

14969920 is an abundant number, since it is smaller than the sum of its proper divisors (27019328).

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

14969920 is a wasteful number, since it uses less digits than its factorization.

14969920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 40.

The square root of 14969920 is about 3869.0980861177. The cubic root of 14969920 is about 246.4562445393.

The spelling of 14969920 in words is "fourteen million, nine hundred sixty-nine thousand, nine hundred twenty".