20765760 has 112 divisors (see below), whose sum is σ = 66909696. Its totient is φ = 5455872.

The previous prime is 20765743. The next prime is 20765783. The reversal of 20765760 is 6756702.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 93009 + ... + 93231.

It is an arithmetic number, because the mean of its divisors is an integer number (597408).

Almost surely, 2^20765760 is an apocalyptic number.

20765760 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 20765760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33454848).

20765760 is an abundant number, since it is smaller than the sum of its proper divisors (46143936).

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

20765760 is a wasteful number, since it uses less digits than its factorization.

20765760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 20765760 is about 4556.9463459646. The cubic root of 20765760 is about 274.8627855411.

The spelling of 20765760 in words is "twenty million, seven hundred sixty-five thousand, seven hundred sixty".