27749120 has 144 divisors (see below), whose sum is σ = 80451840. Its totient is φ = 8957952.

The previous prime is 27749093. The next prime is 27749131. The reversal of 27749120 is 2194772.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 170159 + ... + 170321.

Almost surely, 2^27749120 is an apocalyptic number.

27749120 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 27749120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40225920).

27749120 is an abundant number, since it is smaller than the sum of its proper divisors (52702720).

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

27749120 is a wasteful number, since it uses less digits than its factorization.

27749120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 27749120 is about 5267.7433498605. The cubic root of 27749120 is about 302.7492470256.

The spelling of 27749120 in words is "twenty-seven million, seven hundred forty-nine thousand, one hundred twenty".