20526880 has 96 divisors (see below), whose sum is σ = 53887680. Its totient is φ = 7326720.

The previous prime is 20526841. The next prime is 20526889. The reversal of 20526880 is 8862502.

20526880 is nontrivially palindromic in base 9.

It is not an unprimeable number, because it can be changed into a prime (20526889) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 188266 + ... + 188374.

It is an arithmetic number, because the mean of its divisors is an integer number (561330).

Almost surely, 2^20526880 is an apocalyptic number.

20526880 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 20526880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26943840).

20526880 is an abundant number, since it is smaller than the sum of its proper divisors (33360800).

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

20526880 is a wasteful number, since it uses less digits than its factorization.

20526880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 20526880 is about 4530.6599960712. The cubic root of 20526880 is about 273.8047519461.

The spelling of 20526880 in words is "twenty million, five hundred twenty-six thousand, eight hundred eighty".