27103680 has 112 divisors (see below), whose sum is σ = 95646240. Its totient is φ = 7225344.

The previous prime is 27103667. The next prime is 27103697. The reversal of 27103680 is 8630172.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7072 + ... + 10208.

Almost surely, 2^27103680 is an apocalyptic number.

27103680 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 27103680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47823120).

27103680 is an abundant number, since it is smaller than the sum of its proper divisors (68542560).

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

27103680 is a wasteful number, since it uses less digits than its factorization.

27103680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3163 (or 3147 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 27103680 is about 5206.1194761550. The cubic root of 27103680 is about 300.3835095259.

The spelling of 27103680 in words is "twenty-seven million, one hundred three thousand, six hundred eighty".