27613344 has 96 divisors (see below), whose sum is σ = 80317440. Its totient is φ = 8236800.

The previous prime is 27613337. The next prime is 27613361. The reversal of 27613344 is 44331672.

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

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83259 + ... + 83589.

It is an arithmetic number, because the mean of its divisors is an integer number (836640).

Almost surely, 2^27613344 is an apocalyptic number.

27613344 is a gapful number since it is divisible by the number (24) 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 27613344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40158720).

27613344 is an abundant number, since it is smaller than the sum of its proper divisors (52704096).

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

27613344 is a wasteful number, since it uses less digits than its factorization.

27613344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 426 counting only the distinct ones).

The product of its digits is 12096, while the sum is 30.

The square root of 27613344 is about 5254.8400546544. The cubic root of 27613344 is about 302.2546570662.

It can be divided in two parts, 2761 and 3344, that added together give a triangular number (6105 = T₁₁₀).

The spelling of 27613344 in words is "twenty-seven million, six hundred thirteen thousand, three hundred forty-four".