20185920 has 168 divisors, whose sum is σ = 71481696. Its totient is φ = 5225472.

The previous prime is 20185883. The next prime is 20185967. The reversal of 20185920 is 2958102.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123759 + ... + 123921.

Almost surely, 2^20185920 is an apocalyptic number.

20185920 is a gapful number since it is divisible by the number (20) 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 20185920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35740848).

20185920 is an abundant number, since it is smaller than the sum of its proper divisors (51295776).

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

20185920 is a wasteful number, since it uses less digits than its factorization.

20185920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 20185920 is about 4492.8743583590. The cubic root of 20185920 is about 272.2802762637.

The spelling of 20185920 in words is "twenty million, one hundred eighty-five thousand, nine hundred twenty".