27349680 has 40 divisors (see below), whose sum is σ = 84784752. Its totient is φ = 7293184.

The previous prime is 27349649. The next prime is 27349681. The reversal of 27349680 is 8694372.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×27349680² = 1496009992204800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27349681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56739 + ... + 57218.

Almost surely, 2^27349680 is an apocalyptic number.

27349680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27349680 is an abundant number, since it is smaller than the sum of its proper divisors (57435072).

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

27349680 is a wasteful number, since it uses less digits than its factorization.

27349680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113973 (or 113967 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 27349680 is about 5229.6921515516. The cubic root of 27349680 is about 301.2895599523.

The spelling of 27349680 in words is "twenty-seven million, three hundred forty-nine thousand, six hundred eighty".