20827648 has 40 divisors (see below), whose sum is σ = 43825320. Its totient is φ = 9861120.

The previous prime is 20827613. The next prime is 20827663. The reversal of 20827648 is 84672802.

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 3 ways as a sum of consecutive naturals, for example, 8658 + ... + 10798.

It is an arithmetic number, because the mean of its divisors is an integer number (1095633).

Almost surely, 2^20827648 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 20827648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21912660).

20827648 is an abundant number, since it is smaller than the sum of its proper divisors (22997672).

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

20827648 is an equidigital number, since it uses as much as digits as its factorization.

20827648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2178 (or 2162 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 20827648 is about 4563.7318063182. The cubic root of 20827648 is about 275.1355717213.

It can be divided in two parts, 2082 and 7648, that added together give a triangular number (9730 = T₁₃₉).

The spelling of 20827648 in words is "twenty million, eight hundred twenty-seven thousand, six hundred forty-eight".