27056640 has 160 divisors (see below), whose sum is σ = 93494016. Its totient is φ = 6635520.

The previous prime is 27056621. The next prime is 27056641. The reversal of 27056640 is 4665072.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 27056598 and 27056607.

It is not an unprimeable number, because it can be changed into a prime (27056641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99705 + ... + 99975.

Almost surely, 2^27056640 is an apocalyptic number.

27056640 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 27056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46747008).

27056640 is an abundant number, since it is smaller than the sum of its proper divisors (66437376).

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

27056640 is a wasteful number, since it uses less digits than its factorization.

27056640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 27056640 is about 5201.5997539219. The cubic root of 27056640 is about 300.2096312594.

The spelling of 27056640 in words is "twenty-seven million, fifty-six thousand, six hundred forty".