27930240 has 192 divisors, whose sum is σ = 104144040. Its totient is φ = 6856704.

The previous prime is 27930239. The next prime is 27930241. The reversal of 27930240 is 4203972.

It is an interprime number because it is at equal distance from previous prime (27930239) and next prime (27930241).

It can be written as a sum of positive squares in 4 ways, for example, as 18045504 + 9884736 = 4248^2 + 3144^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27930241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74694 + ... + 75066.

Almost surely, 2^27930240 is an apocalyptic number.

27930240 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 27930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52072020).

27930240 is an abundant number, since it is smaller than the sum of its proper divisors (76213800).

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

27930240 is a wasteful number, since it uses less digits than its factorization.

27930240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 27930240 is about 5284.9068109097. The cubic root of 27930240 is about 303.4065059823.

The spelling of 27930240 in words is "twenty-seven million, nine hundred thirty thousand, two hundred forty".