20827404 has 72 divisors (see below), whose sum is σ = 57238272. Its totient is φ = 6347520.

The previous prime is 20827403. The next prime is 20827421. The reversal of 20827404 is 40472802.

20827404 = 395² + 396² + ... + 498².

It is not an unprimeable number, because it can be changed into a prime (20827403) 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 23 ways as a sum of consecutive naturals, for example, 89272 + ... + 89504.

It is an arithmetic number, because the mean of its divisors is an integer number (794976).

Almost surely, 2^20827404 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 20827404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28619136).

20827404 is an abundant number, since it is smaller than the sum of its proper divisors (36410868).

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

20827404 is a wasteful number, since it uses less digits than its factorization.

20827404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 20827404 is about 4563.7050737312. The cubic root of 20827404 is about 275.1344972946.

It can be divided in two parts, 2082 and 7404, that multiplied together give a triangular number (15415128 = T₅₅₅₂).

The spelling of 20827404 in words is "twenty million, eight hundred twenty-seven thousand, four hundred four".