27961968 has 20 divisors (see below), whose sum is σ = 72235208. Its totient is φ = 9320640.

The previous prime is 27961937. The next prime is 27962021. The reversal of 27961968 is 86916972.

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: 582541 = 27961968 / (2 + 7 + 9 + 6 + 1 + 9 + 6 + 8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 291223 + ... + 291318.

Almost surely, 2^27961968 is an apocalyptic number.

It is an amenable number.

27961968 is an abundant number, since it is smaller than the sum of its proper divisors (44273240).

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

27961968 is a wasteful number, since it uses less digits than its factorization.

27961968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582552 (or 582546 counting only the distinct ones).

The product of its digits is 326592, while the sum is 48.

The square root of 27961968 is about 5287.9077147772. The cubic root of 27961968 is about 303.5213497118.

The spelling of 27961968 in words is "twenty-seven million, nine hundred sixty-one thousand, nine hundred sixty-eight".