20885760 has 324 divisors, whose sum is σ = 86332428. Its totient is φ = 4644864.

The previous prime is 20885759. The next prime is 20885779. The reversal of 20885760 is 6758802.

20885760 is a `hidden beast` number, since 2 + 0 + 88 + 576 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13660416 + 7225344 = 3696^2 + 2688^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 564462 + ... + 564498.

Almost surely, 2^20885760 is an apocalyptic number.

20885760 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 20885760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43166214).

20885760 is an abundant number, since it is smaller than the sum of its proper divisors (65446668).

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

20885760 is a wasteful number, since it uses less digits than its factorization.

20885760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 20885760 is about 4570.0940909351. The cubic root of 20885760 is about 275.3912227858.

20885760 divided by its product of nonzero digits (26880) gives a palindrome (777).

The spelling of 20885760 in words is "twenty million, eight hundred eighty-five thousand, seven hundred sixty".