20165760 has 160 divisors (see below), whose sum is σ = 72200700. Its totient is φ = 5363712.

The previous prime is 20165749. The next prime is 20165767. The reversal of 20165760 is 6756102.

20165760 is a `hidden beast` number, since 2 + 0 + 1 + 657 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19289664 + 876096 = 4392^2 + 936^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20165767) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51646 + ... + 52034.

Almost surely, 2^20165760 is an apocalyptic number.

20165760 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 20165760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36100350).

20165760 is an abundant number, since it is smaller than the sum of its proper divisors (52034940).

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

20165760 is an equidigital number, since it uses as much as digits as its factorization.

20165760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 20165760 is about 4490.6302452997. The cubic root of 20165760 is about 272.1896025208.

It can be divided in two parts, 2016 and 5760, that added together give a 5-th power (7776 = 6⁵).

The spelling of 20165760 in words is "twenty million, one hundred sixty-five thousand, seven hundred sixty".