20517984 has 72 divisors (see below), whose sum is σ = 58810752. Its totient is φ = 6785280.

The previous prime is 20517983. The next prime is 20517989. The reversal of 20517984 is 48971502.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20517983) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54822 + ... + 55194.

It is an arithmetic number, because the mean of its divisors is an integer number (816816).

Almost surely, 2^20517984 is an apocalyptic number.

20517984 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 20517984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29405376).

20517984 is an abundant number, since it is smaller than the sum of its proper divisors (38292768).

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

20517984 is a wasteful number, since it uses less digits than its factorization.

20517984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 20517984 is about 4529.6781342608. The cubic root of 20517984 is about 273.7651921262.

The spelling of 20517984 in words is "twenty million, five hundred seventeen thousand, nine hundred eighty-four".