27813096 has 48 divisors (see below), whose sum is σ = 76939200. Its totient is φ = 9072672.

The previous prime is 27813089. The next prime is 27813103. The reversal of 27813096 is 69031872.

27813096 = T₁₈₁ + T₁₈₂ + ... + T₅₅₆.

It is an interprime number because it is at equal distance from previous prime (27813089) and next prime (27813103).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 27813096.

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, 726 + ... + 7493.

It is an arithmetic number, because the mean of its divisors is an integer number (1602900).

Almost surely, 2^27813096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27813096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38469600).

27813096 is an abundant number, since it is smaller than the sum of its proper divisors (49126104).

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

27813096 is a wasteful number, since it uses less digits than its factorization.

27813096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8278 (or 8271 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 27813096 is about 5273.8122833487. The cubic root of 27813096 is about 302.9817327157.

The spelling of 27813096 in words is "twenty-seven million, eight hundred thirteen thousand, ninety-six".