867841632 has 144 divisors (see below), whose sum is σ = 2867128992. Its totient is φ = 243855360.

The previous prime is 867841627. The next prime is 867841633. The reversal of 867841632 is 236148768.

867841632 is a `hidden beast` number, since 8 + 6 + 7 + 8 + 4 + 1 + 632 = 666.

867841632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (867841633) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119448 + ... + 126504.

It is an arithmetic number, because the mean of its divisors is an integer number (19910618).

Almost surely, 2^867841632 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 867841632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433564496).

867841632 is an abundant number, since it is smaller than the sum of its proper divisors (1999287360).

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

867841632 is a wasteful number, since it uses less digits than its factorization.

867841632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7141 (or 7130 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 867841632 is about 29459.1519226199. The cubic root of 867841632 is about 953.8501669940.

The spelling of 867841632 in words is "eight hundred sixty-seven million, eight hundred forty-one thousand, six hundred thirty-two".