27967464 has 128 divisors (see below), whose sum is σ = 90720000. Its totient is φ = 7817472.

The previous prime is 27967447. The next prime is 27967481. The reversal of 27967464 is 46476972.

It is an interprime number because it is at equal distance from previous prime (27967447) and next prime (27967481).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79962 + ... + 80310.

It is an arithmetic number, because the mean of its divisors is an integer number (708750).

Almost surely, 2^27967464 is an apocalyptic number.

27967464 is a gapful number since it is divisible by the number (24) 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 27967464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45360000).

27967464 is an abundant number, since it is smaller than the sum of its proper divisors (62752536).

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

27967464 is a wasteful number, since it uses less digits than its factorization.

27967464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 414 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 27967464 is about 5288.4273654840. The cubic root of 27967464 is about 303.5412343882.

The spelling of 27967464 in words is "twenty-seven million, nine hundred sixty-seven thousand, four hundred sixty-four".