27001968 has 40 divisors (see below), whose sum is σ = 79721088. Its totient is φ = 7714752.

The previous prime is 27001943. The next prime is 27001969. The reversal of 27001968 is 86910072.

It is a super-3 number, since 3×27001968³ (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27001969) 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, 39846 + ... + 40517.

Almost surely, 2^27001968 is an apocalyptic number.

27001968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

27001968 is an abundant number, since it is smaller than the sum of its proper divisors (52719120).

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

27001968 is a wasteful number, since it uses less digits than its factorization.

27001968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80381 (or 80375 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 27001968 is about 5196.3417901443. The cubic root of 27001968 is about 300.0072887118.

The spelling of 27001968 in words is "twenty-seven million, one thousand, nine hundred sixty-eight".