27364320 has 144 divisors (see below), whose sum is σ = 96550272. Its totient is φ = 7050240.

The previous prime is 27364307. The next prime is 27364333. The reversal of 27364320 is 2346372.

It is an interprime number because it is at equal distance from previous prime (27364307) and next prime (27364333).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 44334 + ... + 44946.

It is an arithmetic number, because the mean of its divisors is an integer number (670488).

Almost surely, 2^27364320 is an apocalyptic number.

27364320 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 27364320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48275136).

27364320 is an abundant number, since it is smaller than the sum of its proper divisors (69185952).

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

27364320 is a wasteful number, since it uses less digits than its factorization.

27364320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 27364320 is about 5231.0916642705. The cubic root of 27364320 is about 301.3433094216.

It can be divided in two parts, 2736 and 4320, that added together give a square (7056 = 84²).

The spelling of 27364320 in words is "twenty-seven million, three hundred sixty-four thousand, three hundred twenty".