27870336 has 96 divisors (see below), whose sum is σ = 86415420. Its totient is φ = 8570880.

The previous prime is 27870329. The next prime is 27870341. The reversal of 27870336 is 63307872.

It can be written as a sum of positive squares in 2 ways, for example, as 19713600 + 8156736 = 4440^2 + 2856^2 .

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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 27870336.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14046 + ... + 15906.

Almost surely, 2^27870336 is an apocalyptic number.

27870336 is a gapful number since it is divisible by the number (26) 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 27870336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43207710).

27870336 is an abundant number, since it is smaller than the sum of its proper divisors (58545084).

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

27870336 is a wasteful number, since it uses less digits than its factorization.

27870336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1894 (or 1879 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 27870336 is about 5279.2363084067. The cubic root of 27870336 is about 303.1894381165.

The spelling of 27870336 in words is "twenty-seven million, eight hundred seventy thousand, three hundred thirty-six".