20884080 has 160 divisors (see below), whose sum is σ = 76566528. Its totient is φ = 4608000.

The previous prime is 20884079. The next prime is 20884099. The reversal of 20884080 is 8048802.

It is a super-2 number, since 2×20884080² = 872289594892800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 51880 + ... + 52280.

Almost surely, 2^20884080 is an apocalyptic number.

20884080 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 20884080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38283264).

20884080 is an abundant number, since it is smaller than the sum of its proper divisors (55682448).

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

20884080 is a wasteful number, since it uses less digits than its factorization.

20884080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 20884080 is about 4569.9102835833. The cubic root of 20884080 is about 275.3838386532.

The spelling of 20884080 in words is "twenty million, eight hundred eighty-four thousand, eighty".