14840320 has 160 divisors (see below), whose sum is σ = 42425856. Its totient is φ = 4915200.

The previous prime is 14840291. The next prime is 14840327. The reversal of 14840320 is 2304841.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 14840291 and 14840300.

It is not an unprimeable number, because it can be changed into a prime (14840327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 478705 + ... + 478735.

Almost surely, 2^14840320 is an apocalyptic number.

14840320 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 14840320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21212928).

14840320 is an abundant number, since it is smaller than the sum of its proper divisors (27585536).

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

14840320 is a wasteful number, since it uses less digits than its factorization.

14840320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 14840320 is about 3852.3135905583. The cubic root of 14840320 is about 245.7429619626.

The spelling of 14840320 in words is "fourteen million, eight hundred forty thousand, three hundred twenty".