27364480 has 192 divisors, whose sum is σ = 80637120. Its totient is φ = 8785920.

The previous prime is 27364451. The next prime is 27364489. The reversal of 27364480 is 8446372.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27364489) 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, 1189749 + ... + 1189771.

It is an arithmetic number, because the mean of its divisors is an integer number (419985).

Almost surely, 2^27364480 is an apocalyptic number.

27364480 is a gapful number since it is divisible by the number (20) 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 27364480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40318560).

27364480 is an abundant number, since it is smaller than the sum of its proper divisors (53272640).

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

27364480 is a wasteful number, since it uses less digits than its factorization.

27364480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 27364480 is about 5231.1069574231. The cubic root of 27364480 is about 301.3438967416.

The spelling of 27364480 in words is "twenty-seven million, three hundred sixty-four thousand, four hundred eighty".