20982080 has 224 divisors, whose sum is σ = 65836800. Its totient is φ = 6193152.

The previous prime is 20982079. The next prime is 20982089. The reversal of 20982080 is 8028902.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×20982080² = 880495362252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20982089) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 723506 + ... + 723534.

Almost surely, 2^20982080 is an apocalyptic number.

20982080 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 20982080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32918400).

20982080 is an abundant number, since it is smaller than the sum of its proper divisors (44854720).

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

20982080 is a wasteful number, since it uses less digits than its factorization.

20982080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 20982080 is about 4580.6200453650. The cubic root of 20982080 is about 275.8139192400.

The spelling of 20982080 in words is "twenty million, nine hundred eighty-two thousand, eighty".