27964864 has 28 divisors (see below), whose sum is σ = 58759344. Its totient is φ = 13159424.

The previous prime is 27964861. The next prime is 27964877. The reversal of 27964864 is 46846972.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27964861) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11764 + ... + 13939.

It is an arithmetic number, because the mean of its divisors is an integer number (2098548).

Almost surely, 2^27964864 is an apocalyptic number.

It is an amenable number.

27964864 is an abundant number, since it is smaller than the sum of its proper divisors (30794480).

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

27964864 is a wasteful number, since it uses less digits than its factorization.

27964864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25732 (or 25722 counting only the distinct ones).

The product of its digits is 580608, while the sum is 46.

The square root of 27964864 is about 5288.1815400003. The cubic root of 27964864 is about 303.5318278427.

The spelling of 27964864 in words is "twenty-seven million, nine hundred sixty-four thousand, eight hundred sixty-four".