27867240 has 192 divisors, whose sum is σ = 97493760. Its totient is φ = 7153920.

The previous prime is 27867211. The next prime is 27867247. The reversal of 27867240 is 4276872.

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

It is a junction number, because it is equal to n+sod(n) for n = 27867195 and 27867204.

It is not an unprimeable number, because it can be changed into a prime (27867247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 456810 + ... + 456870.

It is an arithmetic number, because the mean of its divisors is an integer number (507780).

Almost surely, 2^27867240 is an apocalyptic number.

27867240 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 27867240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48746880).

27867240 is an abundant number, since it is smaller than the sum of its proper divisors (69626520).

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

27867240 is a wasteful number, since it uses less digits than its factorization.

27867240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 27867240 is about 5278.9430760333. The cubic root of 27867240 is about 303.1782110151.

The spelling of 27867240 in words is "twenty-seven million, eight hundred sixty-seven thousand, two hundred forty".