14709920 has 48 divisors (see below), whose sum is σ = 35176680. Its totient is φ = 5812224.

The previous prime is 14709889. The next prime is 14709923. The reversal of 14709920 is 2990741.

It can be written as a sum of positive squares in 4 ways, for example, as 13162384 + 1547536 = 3628^2 + 1244^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (14709923) 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, 13724 + ... + 14756.

Almost surely, 2^14709920 is an apocalyptic number.

14709920 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 14709920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17588340).

14709920 is an abundant number, since it is smaller than the sum of its proper divisors (20466760).

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

14709920 is a wasteful number, since it uses less digits than its factorization.

14709920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 32.

The square root of 14709920 is about 3835.3513528750. The cubic root of 14709920 is about 245.0210727397.

The spelling of 14709920 in words is "fourteen million, seven hundred nine thousand, nine hundred twenty".