20782086 has 64 divisors (see below), whose sum is σ = 48518400. Its totient is φ = 5878656.

The previous prime is 20782081. The next prime is 20782093. The reversal of 20782086 is 68028702.

It is a super-2 number, since 2×20782086² = 863790197022792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20782081) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 54645 + ... + 55023.

It is an arithmetic number, because the mean of its divisors is an integer number (758100).

Almost surely, 2^20782086 is an apocalyptic number.

20782086 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20782086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24259200).

20782086 is an abundant number, since it is smaller than the sum of its proper divisors (27736314).

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

20782086 is a wasteful number, since it uses less digits than its factorization.

20782086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453.

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 20782086 is about 4558.7373251812. The cubic root of 20782086 is about 274.9347988674.

The spelling of 20782086 in words is "twenty million, seven hundred eighty-two thousand, eighty-six".