20084880 has 80 divisors (see below), whose sum is σ = 63478080. Its totient is φ = 5251584.

The previous prime is 20084873. The next prime is 20084891. The reversal of 20084880 is 8848002.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×20084880² = 806804809228800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11931 + ... + 13509.

It is an arithmetic number, because the mean of its divisors is an integer number (793476).

Almost surely, 2^20084880 is an apocalyptic number.

20084880 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 20084880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31739040).

20084880 is an abundant number, since it is smaller than the sum of its proper divisors (43393200).

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

20084880 is a wasteful number, since it uses less digits than its factorization.

20084880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648 (or 1642 counting only the distinct ones).

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

The square root of 20084880 is about 4481.6157800508. The cubic root of 20084880 is about 271.8252193174.

The spelling of 20084880 in words is "twenty million, eighty-four thousand, eight hundred eighty".