27248540 has 48 divisors (see below), whose sum is σ = 62826624. Its totient is φ = 9844800.

The previous prime is 27248531. The next prime is 27248549. The reversal of 27248540 is 4584272.

It is an interprime number because it is at equal distance from previous prime (27248531) and next prime (27248549).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 27248497 and 27248506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27248549) 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, 46127 + ... + 46713.

It is an arithmetic number, because the mean of its divisors is an integer number (1308888).

Almost surely, 2^27248540 is an apocalyptic number.

27248540 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 27248540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31413312).

27248540 is an abundant number, since it is smaller than the sum of its proper divisors (35578084).

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

27248540 is a wasteful number, since it uses less digits than its factorization.

27248540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 32.

The square root of 27248540 is about 5220.0134099445. The cubic root of 27248540 is about 300.9177083605.

The spelling of 27248540 in words is "twenty-seven million, two hundred forty-eight thousand, five hundred forty".