27968064 has 56 divisors (see below), whose sum is σ = 76565760. Its totient is φ = 8999424.

The previous prime is 27968053. The next prime is 27968071. The reversal of 27968064 is 46086972.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3057 + ... + 8079.

Almost surely, 2^27968064 is an apocalyptic number.

27968064 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 27968064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38282880).

27968064 is an abundant number, since it is smaller than the sum of its proper divisors (48597696).

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

27968064 is a wasteful number, since it uses less digits than its factorization.

27968064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5067 (or 5057 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 27968064 is about 5288.4840928190. The cubic root of 27968064 is about 303.5434050467.

The spelling of 27968064 in words is "twenty-seven million, nine hundred sixty-eight thousand, sixty-four".