867067632 has 80 divisors (see below), whose sum is σ = 2493605280. Its totient is φ = 288465408.

The previous prime is 867067627. The next prime is 867067633. The reversal of 867067632 is 236760768.

867067632 is a `hidden beast` number, since 8 + 6 + 7 + 0 + 6 + 7 + 632 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (867067633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 264918 + ... + 268170.

It is an arithmetic number, because the mean of its divisors is an integer number (31170066).

Almost surely, 2^867067632 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 867067632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246802640).

867067632 is an abundant number, since it is smaller than the sum of its proper divisors (1626537648).

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

867067632 is a wasteful number, since it uses less digits than its factorization.

867067632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3887 (or 3875 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 867067632 is about 29446.0121578458. The cubic root of 867067632 is about 953.5665132360.

The spelling of 867067632 in words is "eight hundred sixty-seven million, sixty-seven thousand, six hundred thirty-two".