27825520 has 40 divisors (see below), whose sum is σ = 65308320. Its totient is φ = 11024640.

The previous prime is 27825509. The next prime is 27825527. The reversal of 27825520 is 2552872.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27825527) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 7125 + ... + 10315.

It is an arithmetic number, because the mean of its divisors is an integer number (1632708).

Almost surely, 2^27825520 is an apocalyptic number.

27825520 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 27825520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32654160).

27825520 is an abundant number, since it is smaller than the sum of its proper divisors (37482800).

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

27825520 is a wasteful number, since it uses less digits than its factorization.

27825520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3313 (or 3307 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 31.

The square root of 27825520 is about 5274.9900473840. The cubic root of 27825520 is about 303.0268395806.

The spelling of 27825520 in words is "twenty-seven million, eight hundred twenty-five thousand, five hundred twenty".