87565266 has 96 divisors (see below), whose sum is σ = 214556160. Its totient is φ = 26438400.

The previous prime is 87565253. The next prime is 87565267. The reversal of 87565266 is 66256578.

87565266 is a `hidden beast` number, since 87 + 565 + 2 + 6 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (87565267) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 483696 + ... + 483876.

It is an arithmetic number, because the mean of its divisors is an integer number (2234960).

Almost surely, 2^87565266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87565266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107278080).

87565266 is an abundant number, since it is smaller than the sum of its proper divisors (126990894).

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

87565266 is a wasteful number, since it uses less digits than its factorization.

87565266 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 234 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 87565266 is about 9357.6314310834. The cubic root of 87565266 is about 444.0623542814.

The spelling of 87565266 in words is "eighty-seven million, five hundred sixty-five thousand, two hundred sixty-six".