20879760 has 120 divisors (see below), whose sum is σ = 71245440. Its totient is φ = 5054720.

The previous prime is 20879753. The next prime is 20879767. The reversal of 20879760 is 6797802.

It is an interprime number because it is at equal distance from previous prime (20879753) and next prime (20879767).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20879767) 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, 28681 + ... + 29399.

It is an arithmetic number, because the mean of its divisors is an integer number (593712).

Almost surely, 2^20879760 is an apocalyptic number.

20879760 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 20879760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35622720).

20879760 is an abundant number, since it is smaller than the sum of its proper divisors (50365680).

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

20879760 is a wasteful number, since it uses less digits than its factorization.

20879760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 20879760 is about 4569.4376021563. The cubic root of 20879760 is about 275.3648490653.

The spelling of 20879760 in words is "twenty million, eight hundred seventy-nine thousand, seven hundred sixty".