27513120 has 144 divisors (see below), whose sum is σ = 91590912. Its totient is φ = 6935040.

The previous prime is 27513119. The next prime is 27513137. The reversal of 27513120 is 2131572.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 639819 + ... + 639861.

It is an arithmetic number, because the mean of its divisors is an integer number (636048).

Almost surely, 2^27513120 is an apocalyptic number.

27513120 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 27513120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45795456).

27513120 is an abundant number, since it is smaller than the sum of its proper divisors (64077792).

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

27513120 is a wasteful number, since it uses less digits than its factorization.

27513120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 27513120 is about 5245.2950346001. The cubic root of 27513120 is about 301.8885310002. Note that the first 3 decimals are identical.

Adding to 27513120 its reverse (2131572), we get a palindrome (29644692).

The spelling of 27513120 in words is "twenty-seven million, five hundred thirteen thousand, one hundred twenty".