14801920 has 132 divisors (see below), whose sum is σ = 42004440. Its totient is φ = 4988928.

The previous prime is 14801879. The next prime is 14801921. The reversal of 14801920 is 2910841.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14801921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 250851 + ... + 250909.

Almost surely, 2^14801920 is an apocalyptic number.

14801920 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 14801920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21002220).

14801920 is an abundant number, since it is smaller than the sum of its proper divisors (27202520).

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

14801920 is an equidigital number, since it uses as much as digits as its factorization.

14801920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 14801920 is about 3847.3263443592. The cubic root of 14801920 is about 245.5308218693.

The spelling of 14801920 in words is "fourteen million, eight hundred one thousand, nine hundred twenty".