27264480 has 96 divisors (see below), whose sum is σ = 87091200. Its totient is φ = 7168512.

The previous prime is 27264473. The next prime is 27264493. The reversal of 27264480 is 8446272.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37561 + ... + 38279.

It is an arithmetic number, because the mean of its divisors is an integer number (907200).

Almost surely, 2^27264480 is an apocalyptic number.

27264480 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 27264480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43545600).

27264480 is an abundant number, since it is smaller than the sum of its proper divisors (59826720).

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

27264480 is a wasteful number, since it uses less digits than its factorization.

27264480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 27264480 is about 5221.5400027195. The cubic root of 27264480 is about 300.9763744182.

The spelling of 27264480 in words is "twenty-seven million, two hundred sixty-four thousand, four hundred eighty".