20765682 has 48 divisors (see below), whose sum is σ = 53202240. Its totient is φ = 5727456.

The previous prime is 20765669. The next prime is 20765707. The reversal of 20765682 is 28656702.

20765682 is a `hidden beast` number, since 20 + 76 + 568 + 2 = 666.

It is a super-3 number, since 3×20765682³ (a number of 23 digits) contains 333 as substring.

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, 813 + ... + 6495.

It is an arithmetic number, because the mean of its divisors is an integer number (1108380).

Almost surely, 2^20765682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20765682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26601120).

20765682 is an abundant number, since it is smaller than the sum of its proper divisors (32436558).

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

20765682 is a wasteful number, since it uses less digits than its factorization.

20765682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5727 (or 5724 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 20765682 is about 4556.9377875938. The cubic root of 20765682 is about 274.8624413957.

The spelling of 20765682 in words is "twenty million, seven hundred sixty-five thousand, six hundred eighty-two".