27730560 has 256 divisors, whose sum is σ = 104872320. Its totient is φ = 6144000.

The previous prime is 27730559. The next prime is 27730561. The reversal of 27730560 is 6503772.

It is an interprime number because it is at equal distance from previous prime (27730559) and next prime (27730561).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (27730561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 274510 + ... + 274610.

Almost surely, 2^27730560 is an apocalyptic number.

27730560 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 27730560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52436160).

27730560 is an abundant number, since it is smaller than the sum of its proper divisors (77141760).

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

27730560 is a wasteful number, since it uses less digits than its factorization.

27730560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 30.

The square root of 27730560 is about 5265.9813900165. The cubic root of 27730560 is about 302.6817340228.

The spelling of 27730560 in words is "twenty-seven million, seven hundred thirty thousand, five hundred sixty".