20157984 has 240 divisors, whose sum is σ = 74644416. Its totient is φ = 5184000.

The previous prime is 20157983. The next prime is 20158003. The reversal of 20157984 is 48975102.

20157984 is a `hidden beast` number, since 2 + 0 + 1 + 579 + 84 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (20157983) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 199534 + ... + 199634.

Almost surely, 2^20157984 is an apocalyptic number.

20157984 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 20157984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37322208).

20157984 is an abundant number, since it is smaller than the sum of its proper divisors (54486432).

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

20157984 is a wasteful number, since it uses less digits than its factorization.

20157984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 124 counting only the distinct ones).

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

The square root of 20157984 is about 4489.7643590728. The cubic root of 20157984 is about 272.1546122129.

It can be divided in two parts, 2015 and 7984, that added together give a palindrome (9999).

The spelling of 20157984 in words is "twenty million, one hundred fifty-seven thousand, nine hundred eighty-four".