27426816 has 128 divisors (see below), whose sum is σ = 83884800. Its totient is φ = 8847360.

The previous prime is 27426809. The next prime is 27426829. The reversal of 27426816 is 61862472.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (32256) is a multiple of the sum of its prime divisors (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 884721 + ... + 884751.

It is an arithmetic number, because the mean of its divisors is an integer number (655350).

Almost surely, 2^27426816 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 27426816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41942400).

27426816 is an abundant number, since it is smaller than the sum of its proper divisors (56457984).

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

27426816 is an frugal number, since it uses more digits than its factorization.

27426816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 36 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 27426816 is about 5237.0617716426. The cubic root of 27426816 is about 301.5725426296.

The spelling of 27426816 in words is "twenty-seven million, four hundred twenty-six thousand, eight hundred sixteen".