27146240 has 96 divisors (see below), whose sum is σ = 71351280. Its totient is φ = 9830400.

The previous prime is 27146239. The next prime is 27146261. The reversal of 27146240 is 4264172.

It is a super-2 number, since 2×27146240² = 1473836692275200, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112520 + ... + 112760.

Almost surely, 2^27146240 is an apocalyptic number.

27146240 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 27146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35675640).

27146240 is an abundant number, since it is smaller than the sum of its proper divisors (44205040).

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

27146240 is a wasteful number, since it uses less digits than its factorization.

27146240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 27146240 is about 5210.2053702325. The cubic root of 27146240 is about 300.5406546860.

The spelling of 27146240 in words is "twenty-seven million, one hundred forty-six thousand, two hundred forty".