27147120 has 320 divisors, whose sum is σ = 113992704. Its totient is φ = 5160960.

The previous prime is 27147119. The next prime is 27147121. The reversal of 27147120 is 2174172.

It is an interprime number because it is at equal distance from previous prime (27147119) and next prime (27147121).

It is a super-2 number, since 2×27147120² = 1473932248588800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27147121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 240184 + ... + 240296.

Almost surely, 2^27147120 is an apocalyptic number.

27147120 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 27147120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56996352).

27147120 is an abundant number, since it is smaller than the sum of its proper divisors (86845584).

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

27147120 is a wasteful number, since it uses less digits than its factorization.

27147120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 27147120 is about 5210.2898191943. The cubic root of 27147120 is about 300.5439021943.

The spelling of 27147120 in words is "twenty-seven million, one hundred forty-seven thousand, one hundred twenty".