27616240 has 40 divisors (see below), whose sum is σ = 64817280. Its totient is φ = 10941696.

The previous prime is 27616229. The next prime is 27616243. The reversal of 27616240 is 4261672.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 27616199 and 27616208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27616243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7137 + ... + 10303.

It is an arithmetic number, because the mean of its divisors is an integer number (1620432).

Almost surely, 2^27616240 is an apocalyptic number.

27616240 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 27616240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32408640).

27616240 is an abundant number, since it is smaller than the sum of its proper divisors (37201040).

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

27616240 is a wasteful number, since it uses less digits than its factorization.

27616240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3289 (or 3283 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 27616240 is about 5255.1156029149. The cubic root of 27616240 is about 302.2652232003.

The spelling of 27616240 in words is "twenty-seven million, six hundred sixteen thousand, two hundred forty".