14821920 has 192 divisors, whose sum is σ = 53706240. Its totient is φ = 3815424.

The previous prime is 14821903. The next prime is 14821931. The reversal of 14821920 is 2912841.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203004 + ... + 203076.

It is an arithmetic number, because the mean of its divisors is an integer number (279720).

Almost surely, 2^14821920 is an apocalyptic number.

14821920 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 14821920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26853120).

14821920 is an abundant number, since it is smaller than the sum of its proper divisors (38884320).

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

14821920 is a wasteful number, since it uses less digits than its factorization.

14821920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 14821920 is about 3849.9246745878. The cubic root of 14821920 is about 245.6413572231.

The spelling of 14821920 in words is "fourteen million, eight hundred twenty-one thousand, nine hundred twenty".