27276480 has 448 divisors, whose sum is σ = 122895360. Its totient is φ = 5529600.

The previous prime is 27276479. The next prime is 27276493. The reversal of 27276480 is 8467272.

27276480 is a `hidden beast` number, since 2 + 7 + 2 + 7 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×27276480² = 1488012722380800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 665260 + ... + 665300.

It is an arithmetic number, because the mean of its divisors is an integer number (274320).

Almost surely, 2^27276480 is an apocalyptic number.

27276480 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 27276480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61447680).

27276480 is an abundant number, since it is smaller than the sum of its proper divisors (95618880).

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

27276480 is a wasteful number, since it uses less digits than its factorization.

27276480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 27276480 is about 5222.6889625939. The cubic root of 27276480 is about 301.0205244960.

The spelling of 27276480 in words is "twenty-seven million, two hundred seventy-six thousand, four hundred eighty".