20579040 has 144 divisors (see below), whose sum is σ = 72648576. Its totient is φ = 5299200.

The previous prime is 20578981. The next prime is 20579047. The reversal of 20579040 is 4097502.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 20578995 and 20579013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20579047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44410 + ... + 44870.

It is an arithmetic number, because the mean of its divisors is an integer number (504504).

Almost surely, 2^20579040 is an apocalyptic number.

20579040 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 20579040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36324288).

20579040 is an abundant number, since it is smaller than the sum of its proper divisors (52069536).

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

20579040 is a wasteful number, since it uses less digits than its factorization.

20579040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 20579040 is about 4536.4126796402. The cubic root of 20579040 is about 274.0364737351.

The spelling of 20579040 in words is "twenty million, five hundred seventy-nine thousand, forty".