20211984 has 160 divisors (see below), whose sum is σ = 64579200. Its totient is φ = 6013440.

The previous prime is 20211977. The next prime is 20212001. The reversal of 20211984 is 48911202.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 331314 + ... + 331374.

It is an arithmetic number, because the mean of its divisors is an integer number (403620).

Almost surely, 2^20211984 is an apocalyptic number.

20211984 is a gapful number since it is divisible by the number (24) 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 20211984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32289600).

20211984 is an abundant number, since it is smaller than the sum of its proper divisors (44367216).

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

20211984 is a wasteful number, since it uses less digits than its factorization.

20211984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 20211984 is about 4495.7740156729. The cubic root of 20211984 is about 272.3974150233.

It can be divided in two parts, 2021198 and 4, that added together give a palindrome (2021202).

The spelling of 20211984 in words is "twenty million, two hundred eleven thousand, nine hundred eighty-four".