27259968 has 56 divisors (see below), whose sum is σ = 75273408. Its totient is φ = 8690176.

The previous prime is 27259963. The next prime is 27259987. The reversal of 27259968 is 86995272.

It is a super-2 number, since 2×27259968² = 1486211710722048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (27259961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1330 + ... + 7502.

It is an arithmetic number, because the mean of its divisors is an integer number (1344168).

Almost surely, 2^27259968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27259968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37636704).

27259968 is an abundant number, since it is smaller than the sum of its proper divisors (48013440).

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

27259968 is a wasteful number, since it uses less digits than its factorization.

27259968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6211 (or 6201 counting only the distinct ones).

The product of its digits is 544320, while the sum is 48.

The square root of 27259968 is about 5221.1079283999. The cubic root of 27259968 is about 300.9597706377.

The spelling of 27259968 in words is "twenty-seven million, two hundred fifty-nine thousand, nine hundred sixty-eight".