27964960 has 48 divisors (see below), whose sum is σ = 69552000. Its totient is φ = 10596096.

The previous prime is 27964939. The next prime is 27964999. The reversal of 27964960 is 6946972.

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, 1560 + ... + 7639.

It is an arithmetic number, because the mean of its divisors is an integer number (1449000).

Almost surely, 2^27964960 is an apocalyptic number.

27964960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27964960 is an abundant number, since it is smaller than the sum of its proper divisors (41587040).

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

27964960 is a wasteful number, since it uses less digits than its factorization.

27964960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9233 (or 9225 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 43.

The square root of 27964960 is about 5288.1906168367. The cubic root of 27964960 is about 303.5321751717.

The spelling of 27964960 in words is "twenty-seven million, nine hundred sixty-four thousand, nine hundred sixty".