20127240 has 192 divisors, whose sum is σ = 76752000. Its totient is φ = 4572288.

The previous prime is 20127203. The next prime is 20127253. The reversal of 20127240 is 4272102.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123399 + ... + 123561.

It is an arithmetic number, because the mean of its divisors is an integer number (399750).

Almost surely, 2^20127240 is an apocalyptic number.

20127240 is a gapful number since it is divisible by the number (20) 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 20127240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38376000).

20127240 is an abundant number, since it is smaller than the sum of its proper divisors (56624760).

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

20127240 is a wasteful number, since it uses less digits than its factorization.

20127240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 180 counting only the distinct ones).

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

The square root of 20127240 is about 4486.3392649241. The cubic root of 20127240 is about 272.0161827165.

Adding to 20127240 its reverse (4272102), we get a palindrome (24399342).

It can be divided in two parts, 20 and 127240, that added together give a triangular number (127260 = T₅₀₄).

The spelling of 20127240 in words is "twenty million, one hundred twenty-seven thousand, two hundred forty".