27745968 has 20 divisors (see below), whose sum is σ = 71677208. Its totient is φ = 9248640.

The previous prime is 27745957. The next prime is 27745969. The reversal of 27745968 is 86954772.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 578041 = 27745968 / (2 + 7 + 7 + 4 + 5 + 9 + 6 + 8).

It is not an unprimeable number, because it can be changed into a prime (27745969) 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, 288973 + ... + 289068.

Almost surely, 2^27745968 is an apocalyptic number.

It is an amenable number.

27745968 is an abundant number, since it is smaller than the sum of its proper divisors (43931240).

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

27745968 is a wasteful number, since it uses less digits than its factorization.

27745968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578052 (or 578046 counting only the distinct ones).

The product of its digits is 846720, while the sum is 48.

The square root of 27745968 is about 5267.4441620201. Note that the first 3 decimals coincide. The cubic root of 27745968 is about 302.7377835779.

The spelling of 27745968 in words is "twenty-seven million, seven hundred forty-five thousand, nine hundred sixty-eight".