27248560 has 80 divisors (see below), whose sum is σ = 67495680. Its totient is φ = 10208000.

The previous prime is 27248549. The next prime is 27248567. The reversal of 27248560 is 6584272.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (27248567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108435 + ... + 108685.

It is an arithmetic number, because the mean of its divisors is an integer number (843696).

Almost surely, 2^27248560 is an apocalyptic number.

27248560 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 27248560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33747840).

27248560 is an abundant number, since it is smaller than the sum of its proper divisors (40247120).

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

27248560 is a wasteful number, since it uses less digits than its factorization.

27248560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 27248560 is about 5220.0153256480. The cubic root of 27248560 is about 300.9177819835.

The spelling of 27248560 in words is "twenty-seven million, two hundred forty-eight thousand, five hundred sixty".