27845640 has 256 divisors, whose sum is σ = 103680000. Its totient is φ = 6614784.

The previous prime is 27845603. The next prime is 27845641. The reversal of 27845640 is 4654872.

27845640 is a `hidden beast` number, since 2 + 7 + 8 + 4 + 5 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 27845595 and 27845604.

It is not an unprimeable number, because it can be changed into a prime (27845641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 471931 + ... + 471989.

It is an arithmetic number, because the mean of its divisors is an integer number (405000).

Almost surely, 2^27845640 is an apocalyptic number.

27845640 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 27845640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51840000).

27845640 is an abundant number, since it is smaller than the sum of its proper divisors (75834360).

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

27845640 is a wasteful number, since it uses less digits than its factorization.

27845640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 27845640 is about 5276.8968153641. The cubic root of 27845640 is about 303.0998592534.

The spelling of 27845640 in words is "twenty-seven million, eight hundred forty-five thousand, six hundred forty".