27345664 has 36 divisors (see below), whose sum is σ = 56079184. Its totient is φ = 13298688.

The previous prime is 27345653. The next prime is 27345667. The reversal of 27345664 is 46654372.

It is a hoax number, since the sum of its digits (37) 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 (37).

It is not an unprimeable number, because it can be changed into a prime (27345667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8029 + ... + 10915.

Almost surely, 2^27345664 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 27345664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28039592).

27345664 is an abundant number, since it is smaller than the sum of its proper divisors (28733520).

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

27345664 is an equidigital number, since it uses as much as digits as its factorization.

27345664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2940 (or 2926 counting only the distinct ones).

The product of its digits is 120960, while the sum is 37.

The square root of 27345664 is about 5229.3081760401. The cubic root of 27345664 is about 301.2748122100.

The spelling of 27345664 in words is "twenty-seven million, three hundred forty-five thousand, six hundred sixty-four".