20079584 has 48 divisors (see below), whose sum is σ = 47845728. Its totient is φ = 8097792.

The previous prime is 20079559. The next prime is 20079611. The reversal of 20079584 is 48597002.

It is a happy number.

It is a super-2 number, since 2×20079584² = 806379387226112, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 1172 + ... + 6444.

It is an arithmetic number, because the mean of its divisors is an integer number (996786).

Almost surely, 2^20079584 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 20079584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23922864).

20079584 is an abundant number, since it is smaller than the sum of its proper divisors (27766144).

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

20079584 is a wasteful number, since it uses less digits than its factorization.

20079584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5307 (or 5299 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 20079584 is about 4481.0248827696. The cubic root of 20079584 is about 271.8013255076.

The spelling of 20079584 in words is "twenty million, seventy-nine thousand, five hundred eighty-four".