20958080 has 128 divisors (see below), whose sum is σ = 59119200. Its totient is φ = 7004160.

The previous prime is 20958079. The next prime is 20958089. The reversal of 20958080 is 8085902.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×20958080² = 878482234572800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20958089) 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 15 ways as a sum of consecutive naturals, for example, 91406 + ... + 91634.

Almost surely, 2^20958080 is an apocalyptic number.

20958080 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 20958080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29559600).

20958080 is an abundant number, since it is smaller than the sum of its proper divisors (38161120).

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

20958080 is a wasteful number, since it uses less digits than its factorization.

20958080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 20958080 is about 4577.9995631280. Note that the first 3 decimals coincide. The cubic root of 20958080 is about 275.7087174114.

20958080 divided by its sum of digits (32) gives a triangular number (654940 = T₁₁₄₄).

The spelling of 20958080 in words is "twenty million, nine hundred fifty-eight thousand, eighty".