20101984 has 48 divisors (see below), whose sum is σ = 46303488. Its totient is φ = 8410752.

The previous prime is 20101979. The next prime is 20101993. The reversal of 20101984 is 48910102.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8589 + ... + 10675.

It is an arithmetic number, because the mean of its divisors is an integer number (964656).

Almost surely, 2^20101984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20101984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23151744).

20101984 is an abundant number, since it is smaller than the sum of its proper divisors (26201504).

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

20101984 is a wasteful number, since it uses less digits than its factorization.

20101984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2147 (or 2139 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 20101984 is about 4483.5236143016. The cubic root of 20101984 is about 271.9023582633.

The spelling of 20101984 in words is "twenty million, one hundred one thousand, nine hundred eighty-four".