27001920 has 112 divisors (see below), whose sum is σ = 93561408. Its totient is φ = 6543360.

The previous prime is 27001913. The next prime is 27001921. The reversal of 27001920 is 2910072.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (27001921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9282 + ... + 11838.

Almost surely, 2^27001920 is an apocalyptic number.

27001920 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 27001920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46780704).

27001920 is an abundant number, since it is smaller than the sum of its proper divisors (66559488).

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

27001920 is a wasteful number, since it uses less digits than its factorization.

27001920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2588 (or 2578 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 27001920 is about 5196.3371715084. The cubic root of 27001920 is about 300.0071109426.

Adding to 27001920 its reverse (2910072), we get a palindrome (29911992).

The spelling of 27001920 in words is "twenty-seven million, one thousand, nine hundred twenty".