14821520 has 120 divisors (see below), whose sum is σ = 42408000. Its totient is φ = 4790016.

The previous prime is 14821517. The next prime is 14821529. The reversal of 14821520 is 2512841.

It is a super-2 number, since 2×14821520² = 439354910220800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14821529) 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, 74381 + ... + 74579.

It is an arithmetic number, because the mean of its divisors is an integer number (353400).

Almost surely, 2^14821520 is an apocalyptic number.

14821520 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 14821520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21204000).

14821520 is an abundant number, since it is smaller than the sum of its proper divisors (27586480).

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

14821520 is a wasteful number, since it uses less digits than its factorization.

14821520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 14821520 is about 3849.8727251690. The cubic root of 14821520 is about 245.6391474908.

The spelling of 14821520 in words is "fourteen million, eight hundred twenty-one thousand, five hundred twenty".