867132000 has 768 divisors, whose sum is σ = 3824271360. Its totient is φ = 186624000.

The previous prime is 867131983. The next prime is 867132029. The reversal of 867132000 is 231768.

867132000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23435982 + ... + 23436018.

It is an arithmetic number, because the mean of its divisors is an integer number (4979520).

Almost surely, 2^867132000 is an apocalyptic number.

867132000 is a gapful number since it is divisible by the number (80) 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 867132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1912135680).

867132000 is an abundant number, since it is smaller than the sum of its proper divisors (2957139360).

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

867132000 is a wasteful number, since it uses less digits than its factorization.

867132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 867132000 is about 29447.1051208773. The cubic root of 867132000 is about 953.5901091080.

Adding to 867132000 its reverse (231768), we get a palindrome (867363768).

The spelling of 867132000 in words is "eight hundred sixty-seven million, one hundred thirty-two thousand".