27349960 has 64 divisors (see below), whose sum is σ = 68299200. Its totient is φ = 9772800.

The previous prime is 27349951. The next prime is 27349997. The reversal of 27349960 is 6994372.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 26331 + ... + 27349.

It is an arithmetic number, because the mean of its divisors is an integer number (1067175).

Almost surely, 2^27349960 is an apocalyptic number.

27349960 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 27349960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34149600).

27349960 is an abundant number, since it is smaller than the sum of its proper divisors (40949240).

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

27349960 is a wasteful number, since it uses less digits than its factorization.

27349960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 40.

The square root of 27349960 is about 5229.7189217012. The cubic root of 27349960 is about 301.2905881275.

The spelling of 27349960 in words is "twenty-seven million, three hundred forty-nine thousand, nine hundred sixty".