27211968 has 168 divisors, whose sum is σ = 94622112. Its totient is φ = 7299072.

The previous prime is 27211939. The next prime is 27211969. The reversal of 27211968 is 86911272.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (27211969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68346 + ... + 68742.

Almost surely, 2^27211968 is an apocalyptic number.

27211968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27211968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47311056).

27211968 is an abundant number, since it is smaller than the sum of its proper divisors (67410144).

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

27211968 is a wasteful number, since it uses less digits than its factorization.

27211968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 426 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 27211968 is about 5216.5091776014. The cubic root of 27211968 is about 300.7830211482.

The spelling of 27211968 in words is "twenty-seven million, two hundred eleven thousand, nine hundred sixty-eight".