20586940 has 72 divisors (see below), whose sum is σ = 48799296. Its totient is φ = 7286400.

The previous prime is 20586913. The next prime is 20586953. The reversal of 20586940 is 4968502.

It is a happy number.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 20586896 and 20586905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113650 + ... + 113830.

It is an arithmetic number, because the mean of its divisors is an integer number (677768).

Almost surely, 2^20586940 is an apocalyptic number.

20586940 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 20586940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24399648).

20586940 is an abundant number, since it is smaller than the sum of its proper divisors (28212356).

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

20586940 is a wasteful number, since it uses less digits than its factorization.

20586940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 20586940 is about 4537.2833281601. The cubic root of 20586940 is about 274.0715354805.

It can be divided in two parts, 2058 and 6940, that added together give a palindrome (8998).

The spelling of 20586940 in words is "twenty million, five hundred eighty-six thousand, nine hundred forty".