27945968 has 40 divisors (see below), whose sum is σ = 55651200. Its totient is φ = 13590720.

The previous prime is 27945961. The next prime is 27945997. The reversal of 27945968 is 86954972.

It is a happy number.

It is a super-4 number, since 4×27945968⁴ (a number of 31 digits) contains 4444 as substring.

Its product of digits (1088640) is a multiple of the sum of its prime factors (405).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27945961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140333 + ... + 140531.

It is an arithmetic number, because the mean of its divisors is an integer number (1391280).

Almost surely, 2^27945968 is an apocalyptic number.

It is an amenable number.

27945968 is a deficient number, since it is larger than the sum of its proper divisors (27705232).

27945968 is a wasteful number, since it uses less digits than its factorization.

27945968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 399 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 50.

The square root of 27945968 is about 5286.3946125881. The cubic root of 27945968 is about 303.4634464416.

The spelling of 27945968 in words is "twenty-seven million, nine hundred forty-five thousand, nine hundred sixty-eight".