14687920 has 80 divisors (see below), whose sum is σ = 38122560. Its totient is φ = 5225472.

The previous prime is 14687909. The next prime is 14687947. The reversal of 14687920 is 2978641.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 14687920.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29917 + ... + 30403.

It is an arithmetic number, because the mean of its divisors is an integer number (476532).

Almost surely, 2^14687920 is an apocalyptic number.

14687920 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 14687920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19061280).

14687920 is an abundant number, since it is smaller than the sum of its proper divisors (23434640).

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

14687920 is a wasteful number, since it uses less digits than its factorization.

14687920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 14687920 is about 3832.4822243554. The cubic root of 14687920 is about 244.8988614895.

The spelling of 14687920 in words is "fourteen million, six hundred eighty-seven thousand, nine hundred twenty".