27964000 has 48 divisors (see below), whose sum is σ = 68717376. Its totient is φ = 11184000.

The previous prime is 27963973. The next prime is 27964039. The reversal of 27964000 is 46972.

It is a self number, because there is not a number n which added to its sum of digits gives 27964000.

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 7 ways as a sum of consecutive naturals, for example, 505 + ... + 7495.

It is an arithmetic number, because the mean of its divisors is an integer number (1431612).

Almost surely, 2^27964000 is an apocalyptic number.

27964000 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 27964000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34358688).

27964000 is an abundant number, since it is smaller than the sum of its proper divisors (40753376).

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

27964000 is an equidigital number, since it uses as much as digits as its factorization.

27964000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7016 (or 6998 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 27964000 is about 5288.0998477714. The cubic root of 27964000 is about 303.5287018462.

The spelling of 27964000 in words is "twenty-seven million, nine hundred sixty-four thousand".