27306240 has 144 divisors (see below), whose sum is σ = 94089408. Its totient is φ = 6709248.

The previous prime is 27306217. The next prime is 27306263. The reversal of 27306240 is 4260372.

It is an interprime number because it is at equal distance from previous prime (27306217) and next prime (27306263).

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

It is a self number, because there is not a number n which added to its sum of digits gives 27306240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49647 + ... + 50193.

Almost surely, 2^27306240 is an apocalyptic number.

27306240 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 27306240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47044704).

27306240 is an abundant number, since it is smaller than the sum of its proper divisors (66783168).

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

27306240 is a wasteful number, since it uses less digits than its factorization.

27306240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 27306240 is about 5225.5372929489. The cubic root of 27306240 is about 301.1299608404.

The spelling of 27306240 in words is "twenty-seven million, three hundred six thousand, two hundred forty".