27426168 has 256 divisors, whose sum is σ = 101606400. Its totient is φ = 6635520.

The previous prime is 27426137. The next prime is 27426181. The reversal of 27426168 is 86162472.

It is a Cunningham number, because it is equal to 5237²-1.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 282696 + ... + 282792.

It is an arithmetic number, because the mean of its divisors is an integer number (396900).

Almost surely, 2^27426168 is an apocalyptic number.

27426168 is a gapful number since it is divisible by the number (28) 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 27426168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50803200).

27426168 is an abundant number, since it is smaller than the sum of its proper divisors (74180232).

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

27426168 is a wasteful number, since it uses less digits than its factorization.

27426168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 137 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 27426168 is about 5236.9999045255. Note that the first 4 decimals coincide. The cubic root of 27426168 is about 301.5701675751.

The spelling of 27426168 in words is "twenty-seven million, four hundred twenty-six thousand, one hundred sixty-eight".