20807160 has 96 divisors (see below), whose sum is σ = 68659920. Its totient is φ = 5040640.

The previous prime is 20807159. The next prime is 20807173. The reversal of 20807160 is 6170802.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20807160.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13804 + ... + 15236.

Almost surely, 2^20807160 is an apocalyptic number.

20807160 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 20807160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34329960).

20807160 is an abundant number, since it is smaller than the sum of its proper divisors (47852760).

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

20807160 is a wasteful number, since it uses less digits than its factorization.

20807160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 20807160 is about 4561.4865997830. The cubic root of 20807160 is about 275.0453258623.

Adding to 20807160 its reverse (6170802), we get a palindrome (26977962).

The spelling of 20807160 in words is "twenty million, eight hundred seven thousand, one hundred sixty".