8027867232 has 960 divisors, whose sum is σ = 32492275200. Its totient is φ = 1881169920.

The previous prime is 8027867209. The next prime is 8027867311. The reversal of 8027867232 is 2327687208.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 109970748 + ... + 109970820.

It is an arithmetic number, because the mean of its divisors is an integer number (33846120).

Almost surely, 2^8027867232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8027867232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16246137600).

8027867232 is an abundant number, since it is smaller than the sum of its proper divisors (24464407968).

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

8027867232 is a wasteful number, since it uses less digits than its factorization.

8027867232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 8027867232 is about 89598.3662351050. The cubic root of 8027867232 is about 2002.3195780721.

It can be divided in two parts, 802786 and 7232, that added together give a palindrome (810018).

The spelling of 8027867232 in words is "eight billion, twenty-seven million, eight hundred sixty-seven thousand, two hundred thirty-two".