20106576 has 160 divisors (see below), whose sum is σ = 67654400. Its totient is φ = 5598720.

The previous prime is 20106521. The next prime is 20106589. The reversal of 20106576 is 67560102.

20106576 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 657 + 6 = 666.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 184410 + ... + 184518.

It is an arithmetic number, because the mean of its divisors is an integer number (422840).

Almost surely, 2^20106576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20106576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33827200).

20106576 is an abundant number, since it is smaller than the sum of its proper divisors (47547824).

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

20106576 is a wasteful number, since it uses less digits than its factorization.

20106576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 182 counting only the distinct ones).

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

The square root of 20106576 is about 4484.0356822844. The cubic root of 20106576 is about 271.9230607069.

Adding to 20106576 its reverse (67560102), we get a palindrome (87666678).

The spelling of 20106576 in words is "twenty million, one hundred six thousand, five hundred seventy-six".