27042120 has 256 divisors, whose sum is σ = 106560000. Its totient is φ = 6096384.

The previous prime is 27042109. The next prime is 27042131. The reversal of 27042120 is 2124072.

It is an interprime number because it is at equal distance from previous prime (27042109) and next prime (27042131).

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

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 27042093 and 27042102.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 370404 + ... + 370476.

It is an arithmetic number, because the mean of its divisors is an integer number (416250).

Almost surely, 2^27042120 is an apocalyptic number.

27042120 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 27042120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53280000).

27042120 is an abundant number, since it is smaller than the sum of its proper divisors (79517880).

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

27042120 is a wasteful number, since it uses less digits than its factorization.

27042120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 90 counting only the distinct ones).

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

The square root of 27042120 is about 5200.2038421585. The cubic root of 27042120 is about 300.1559189502.

Adding to 27042120 its reverse (2124072), we get a palindrome (29166192).

The spelling of 27042120 in words is "twenty-seven million, forty-two thousand, one hundred twenty".