27141120 has 264 divisors, whose sum is σ = 102186240. Its totient is φ = 6635520.

The previous prime is 27141113. The next prime is 27141133. The reversal of 27141120 is 2114172.

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 = 27141093 and 27141102.

It is a congruent number.

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, 875505 + ... + 875535.

Almost surely, 2^27141120 is an apocalyptic number.

27141120 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 27141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51093120).

27141120 is an abundant number, since it is smaller than the sum of its proper divisors (75045120).

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

27141120 is a wasteful number, since it uses less digits than its factorization.

27141120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 27141120 is about 5209.7140036666. The cubic root of 27141120 is about 300.5217587001.

Adding to 27141120 its reverse (2114172), we get a palindrome (29255292).

It can be divided in two parts, 27141 and 120, that added together give a triangular number (27261 = T₂₃₃).

The spelling of 27141120 in words is "twenty-seven million, one hundred forty-one thousand, one hundred twenty".