20782164 has 48 divisors (see below), whose sum is σ = 52778880. Its totient is φ = 6326400.

The previous prime is 20782163. The next prime is 20782189. The reversal of 20782164 is 46128702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20782163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15097 + ... + 16415.

It is an arithmetic number, because the mean of its divisors is an integer number (1099560).

Almost surely, 2^20782164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20782164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26389440).

20782164 is an abundant number, since it is smaller than the sum of its proper divisors (31996716).

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

20782164 is a wasteful number, since it uses less digits than its factorization.

20782164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1440 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 20782164 is about 4558.7458801736. The cubic root of 20782164 is about 274.9351428317.

The spelling of 20782164 in words is "twenty million, seven hundred eighty-two thousand, one hundred sixty-four".