20127360 has 128 divisors (see below), whose sum is σ = 70061760. Its totient is φ = 4874240.

The previous prime is 20127353. The next prime is 20127361. The reversal of 20127360 is 6372102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×20127360² = 810221241139200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20127361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20644 + ... + 21596.

Almost surely, 2^20127360 is an apocalyptic number.

20127360 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 20127360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35030880).

20127360 is an abundant number, since it is smaller than the sum of its proper divisors (49934400).

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

20127360 is a wasteful number, since it uses less digits than its factorization.

20127360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 20127360 is about 4486.3526388370. The cubic root of 20127360 is about 272.0167233086.

Adding to 20127360 its reverse (6372102), we get a palindrome (26499462).

The spelling of 20127360 in words is "twenty million, one hundred twenty-seven thousand, three hundred sixty".