27680576 has 112 divisors (see below), whose sum is σ = 70664832. Its totient is φ = 10444800.

The previous prime is 27680567. The next prime is 27680591. The reversal of 27680576 is 67508672.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201980 + ... + 202116.

It is an arithmetic number, because the mean of its divisors is an integer number (630936).

Almost surely, 2^27680576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27680576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35332416).

27680576 is an abundant number, since it is smaller than the sum of its proper divisors (42984256).

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

27680576 is a wasteful number, since it uses less digits than its factorization.

27680576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 41.

The square root of 27680576 is about 5261.2333154879. The cubic root of 27680576 is about 302.4997645878.

The spelling of 27680576 in words is "twenty-seven million, six hundred eighty thousand, five hundred seventy-six".