20785360 has 40 divisors (see below), whose sum is σ = 49512456. Its totient is φ = 8110080.

The previous prime is 20785357. The next prime is 20785367. The reversal of 20785360 is 6358702.

20785360 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 4 ways, for example, as 28224 + 20757136 = 168^2 + 4556^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20785367) 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 7 ways as a sum of consecutive naturals, for example, 112 + ... + 6448.

Almost surely, 2^20785360 is an apocalyptic number.

20785360 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 20785360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24756228).

20785360 is an abundant number, since it is smaller than the sum of its proper divisors (28727096).

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

20785360 is a wasteful number, since it uses less digits than its factorization.

20785360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6391 (or 6385 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 20785360 is about 4559.0964017007. The cubic root of 20785360 is about 274.9492358087.

The spelling of 20785360 in words is "twenty million, seven hundred eighty-five thousand, three hundred sixty".