14986920 has 96 divisors (see below), whose sum is σ = 48751200. Its totient is φ = 3684096.

The previous prime is 14986913. The next prime is 14986921. The reversal of 14986920 is 2968941.

14986920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (14986921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19911 + ... + 20649.

It is an arithmetic number, because the mean of its divisors is an integer number (507825).

Almost surely, 2^14986920 is an apocalyptic number.

14986920 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 14986920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24375600).

14986920 is an abundant number, since it is smaller than the sum of its proper divisors (33764280).

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

14986920 is a wasteful number, since it uses less digits than its factorization.

14986920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 14986920 is about 3871.2943571886. The cubic root of 14986920 is about 246.5495020223.

The spelling of 14986920 in words is "fourteen million, nine hundred eighty-six thousand, nine hundred twenty".