27680149 has 12 divisors (see below), whose sum is σ = 32387628. Its totient is φ = 23587200.

The previous prime is 27680137. The next prime is 27680183. The reversal of 27680149 is 94108672.

It can be written as a sum of positive squares in 2 ways, for example, as 117649 + 27562500 = 343^2 + 5250^2 .

It is not a de Polignac number, because 27680149 - 2¹³ = 27671957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27680129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7309 + ... + 10429.

It is an arithmetic number, because the mean of its divisors is an integer number (2698969).

Almost surely, 2^27680149 is an apocalyptic number.

It is an amenable number.

27680149 is a deficient number, since it is larger than the sum of its proper divisors (4707479).

27680149 is a wasteful number, since it uses less digits than its factorization.

27680149 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3316 (or 3309 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 27680149 is about 5261.1927354926. The cubic root of 27680149 is about 302.4982091281.

The spelling of 27680149 in words is "twenty-seven million, six hundred eighty thousand, one hundred forty-nine".