20385160 has 32 divisors (see below), whose sum is σ = 46454400. Its totient is φ = 8049600.

The previous prime is 20385143. The next prime is 20385179. The reversal of 20385160 is 6158302.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66 + ... + 6385.

It is an arithmetic number, because the mean of its divisors is an integer number (1451700).

Almost surely, 2^20385160 is an apocalyptic number.

20385160 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 20385160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23227200).

20385160 is an abundant number, since it is smaller than the sum of its proper divisors (26069240).

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

20385160 is a wasteful number, since it uses less digits than its factorization.

20385160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6541 (or 6537 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 20385160 is about 4514.9928017661. The cubic root of 20385160 is about 273.1731694370.

The spelling of 20385160 in words is "twenty million, three hundred eighty-five thousand, one hundred sixty".