14785920 has 192 divisors, whose sum is σ = 54419040. Its totient is φ = 3686400.

The previous prime is 14785907. The next prime is 14785921. The reversal of 14785920 is 2958741.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14785921) 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, 97845 + ... + 97995.

Almost surely, 2^14785920 is an apocalyptic number.

14785920 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 14785920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27209520).

14785920 is an abundant number, since it is smaller than the sum of its proper divisors (39633120).

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

14785920 is a wasteful number, since it uses less digits than its factorization.

14785920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 14785920 is about 3845.2464160311. The cubic root of 14785920 is about 245.4423218754.

The spelling of 14785920 in words is "fourteen million, seven hundred eighty-five thousand, nine hundred twenty".