27168240 has 160 divisors (see below), whose sum is σ = 94493952. Its totient is φ = 6400000.

The previous prime is 27168223. The next prime is 27168287. The reversal of 27168240 is 4286172.

It is a super-2 number, since 2×27168240² = 1476226529395200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 27168198 and 27168207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108115 + ... + 108365.

Almost surely, 2^27168240 is an apocalyptic number.

27168240 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 27168240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47246976).

27168240 is an abundant number, since it is smaller than the sum of its proper divisors (67325712).

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

27168240 is a wasteful number, since it uses less digits than its factorization.

27168240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 27168240 is about 5212.3161838093. The cubic root of 27168240 is about 300.6218213480.

The spelling of 27168240 in words is "twenty-seven million, one hundred sixty-eight thousand, two hundred forty".