27999360 has 96 divisors (see below), whose sum is σ = 96705180. Its totient is φ = 7464960.

The previous prime is 27999353. The next prime is 27999371. The reversal of 27999360 is 6399972.

It can be written as a sum of positive squares in 2 ways, for example, as 27123264 + 876096 = 5208^2 + 936^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3330 + ... + 8190.

Almost surely, 2^27999360 is an apocalyptic number.

27999360 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 27999360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48352590).

27999360 is an abundant number, since it is smaller than the sum of its proper divisors (68705820).

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

27999360 is a wasteful number, since it uses less digits than its factorization.

27999360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4886 (or 4871 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 27999360 is about 5291.4421474679. The cubic root of 27999360 is about 303.6565835783.

The spelling of 27999360 in words is "twenty-seven million, nine hundred ninety-nine thousand, three hundred sixty".