20466160 has 80 divisors (see below), whose sum is σ = 55933920. Its totient is φ = 6865920.

The previous prime is 20466139. The next prime is 20466179. The reversal of 20466160 is 6166402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 10546 + ... + 12334.

It is an arithmetic number, because the mean of its divisors is an integer number (699174).

Almost surely, 2^20466160 is an apocalyptic number.

20466160 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 20466160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27966960).

20466160 is an abundant number, since it is smaller than the sum of its proper divisors (35467760).

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

20466160 is a wasteful number, since it uses less digits than its factorization.

20466160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826 (or 1820 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 20466160 is about 4523.9540227549. The cubic root of 20466160 is about 273.5345071971.

The spelling of 20466160 in words is "twenty million, four hundred sixty-six thousand, one hundred sixty".