20127024 has 120 divisors (see below), whose sum is σ = 60353280. Its totient is φ = 6247296.

The previous prime is 20127017. The next prime is 20127043. The reversal of 20127024 is 42072102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20126988 and 20127006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195357 + ... + 195459.

It is an arithmetic number, because the mean of its divisors is an integer number (502944).

Almost surely, 2^20127024 is an apocalyptic number.

20127024 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 20127024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30176640).

20127024 is an abundant number, since it is smaller than the sum of its proper divisors (40226256).

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

20127024 is a wasteful number, since it uses less digits than its factorization.

20127024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 20127024 is about 4486.3151917804. The cubic root of 20127024 is about 272.0152096455.

Adding to 20127024 its reverse (42072102), we get a palindrome (62199126).

It can be divided in two parts, 201 and 27024, that added together give a square (27225 = 165²).

The spelling of 20127024 in words is "twenty million, one hundred twenty-seven thousand, twenty-four".