20684160 has 384 divisors, whose sum is σ = 89107200. Its totient is φ = 4478976.

The previous prime is 20684159. The next prime is 20684171. The reversal of 20684160 is 6148602.

It is a tau number, because it is divible by the number of its divisors (384).

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 Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1088631 + ... + 1088649.

It is an arithmetic number, because the mean of its divisors is an integer number (232050).

Almost surely, 2^20684160 is an apocalyptic number.

20684160 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 20684160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44553600).

20684160 is an abundant number, since it is smaller than the sum of its proper divisors (68423040).

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

20684160 is an equidigital number, since it uses as much as digits as its factorization.

20684160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 20684160 is about 4547.9841688379. The cubic root of 20684160 is about 274.5022843132.

The spelling of 20684160 in words is "twenty million, six hundred eighty-four thousand, one hundred sixty".