27356480 has 56 divisors (see below), whose sum is σ = 66412872. Its totient is φ = 10729472.

The previous prime is 27356467. The next prime is 27356489. The reversal of 27356480 is 8465372.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6270016 + 21086464 = 2504^2 + 4592^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 27356480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27356489) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16154 + ... + 17766.

Almost surely, 2^27356480 is an apocalyptic number.

27356480 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 27356480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33206436).

27356480 is an abundant number, since it is smaller than the sum of its proper divisors (39056392).

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

27356480 is a wasteful number, since it uses less digits than its factorization.

27356480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1683 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 27356480 is about 5230.3422450161. The cubic root of 27356480 is about 301.3145279377.

The spelling of 27356480 in words is "twenty-seven million, three hundred fifty-six thousand, four hundred eighty".