20086880 has 96 divisors (see below), whose sum is σ = 52744608. Its totient is φ = 7168000.

The previous prime is 20086867. The next prime is 20086883. The reversal of 20086880 is 8868002.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20086883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177704 + ... + 177816.

It is an arithmetic number, because the mean of its divisors is an integer number (549423).

Almost surely, 2^20086880 is an apocalyptic number.

20086880 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 20086880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26372304).

20086880 is an abundant number, since it is smaller than the sum of its proper divisors (32657728).

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

20086880 is a wasteful number, since it uses less digits than its factorization.

20086880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 20086880 is about 4481.8389083054. The cubic root of 20086880 is about 271.8342415669.

It can be divided in two parts, 2008 and 6880, that added together give a palindrome (8888).

The spelling of 20086880 in words is "twenty million, eighty-six thousand, eight hundred eighty".