27025680 has 160 divisors (see below), whose sum is σ = 94815360. Its totient is φ = 6307840.

The previous prime is 27025643. The next prime is 27025697. The reversal of 27025680 is 8652072.

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

It is a zygodrome in base 7.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76384 + ... + 76736.

It is an arithmetic number, because the mean of its divisors is an integer number (592596).

Almost surely, 2^27025680 is an apocalyptic number.

27025680 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 27025680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47407680).

27025680 is an abundant number, since it is smaller than the sum of its proper divisors (67789680).

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

27025680 is a wasteful number, since it uses less digits than its factorization.

27025680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 27025680 is about 5198.6228945751. The cubic root of 27025680 is about 300.0950809733.

The spelling of 27025680 in words is "twenty-seven million, twenty-five thousand, six hundred eighty".