14861920 has 48 divisors (see below), whose sum is σ = 36333360. Its totient is φ = 5737984.

The previous prime is 14861909. The next prime is 14861929. The reversal of 14861920 is 2916841.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14861929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3039 + ... + 6241.

It is an arithmetic number, because the mean of its divisors is an integer number (756945).

Almost surely, 2^14861920 is an apocalyptic number.

14861920 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 14861920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18166680).

14861920 is an abundant number, since it is smaller than the sum of its proper divisors (21471440).

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

14861920 is a wasteful number, since it uses less digits than its factorization.

14861920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3247 (or 3239 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 14861920 is about 3855.1160812614. The cubic root of 14861920 is about 245.8621299855.

The spelling of 14861920 in words is "fourteen million, eight hundred sixty-one thousand, nine hundred twenty".