14820640 has 48 divisors (see below), whose sum is σ = 35259840. Its totient is φ = 5886720.

The previous prime is 14820599. The next prime is 14820647. The reversal of 14820640 is 4602841.

It is not an unprimeable number, because it can be changed into a prime (14820647) 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, 33541 + ... + 33979.

It is an arithmetic number, because the mean of its divisors is an integer number (734580).

Almost surely, 2^14820640 is an apocalyptic number.

14820640 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 14820640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17629920).

14820640 is an abundant number, since it is smaller than the sum of its proper divisors (20439200).

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

14820640 is a wasteful number, since it uses less digits than its factorization.

14820640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 14820640 is about 3849.7584339800. The cubic root of 14820640 is about 245.6342859398.

The spelling of 14820640 in words is "fourteen million, eight hundred twenty thousand, six hundred forty".