14661920 has 192 divisors, whose sum is σ = 45722880. Its totient is φ = 4313088.

The previous prime is 14661893. The next prime is 14661937. The reversal of 14661920 is 2916641.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 276614 + ... + 276666.

It is an arithmetic number, because the mean of its divisors is an integer number (238140).

Almost surely, 2^14661920 is an apocalyptic number.

14661920 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 14661920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22861440).

14661920 is an abundant number, since it is smaller than the sum of its proper divisors (31060960).

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

14661920 is a wasteful number, since it uses less digits than its factorization.

14661920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 14661920 is about 3829.0886644213. The cubic root of 14661920 is about 244.7542725758.

The spelling of 14661920 in words is "fourteen million, six hundred sixty-one thousand, nine hundred twenty".