20827720 has 64 divisors (see below), whose sum is σ = 50252400. Its totient is φ = 7741440.

The previous prime is 20827717. The next prime is 20827727. The reversal of 20827720 is 2772802.

It can be written as a sum of positive squares in 8 ways, for example, as 15729156 + 5098564 = 3966^2 + 2258^2 .

It is not an unprimeable number, because it can be changed into a prime (20827727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73980 + ... + 74260.

Almost surely, 2^20827720 is an apocalyptic number.

20827720 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 20827720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25126200).

20827720 is an abundant number, since it is smaller than the sum of its proper divisors (29424680).

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

20827720 is a wasteful number, since it uses less digits than its factorization.

20827720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The square root of 20827720 is about 4563.7396945926. The cubic root of 20827720 is about 275.1358887636.

The spelling of 20827720 in words is "twenty million, eight hundred twenty-seven thousand, seven hundred twenty".