867405312 has 120 divisors (see below), whose sum is σ = 2590113240. Its totient is φ = 279121920.

The previous prime is 867405281. The next prime is 867405313. The reversal of 867405312 is 213504768.

867405312 is a `hidden beast` number, since 86 + 7 + 40 + 531 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (867405313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130387 + ... + 136877.

It is an arithmetic number, because the mean of its divisors is an integer number (21584277).

Almost surely, 2^867405312 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 867405312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295056620).

867405312 is an abundant number, since it is smaller than the sum of its proper divisors (1722707928).

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

867405312 is a wasteful number, since it uses less digits than its factorization.

867405312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6544 (or 6525 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 867405312 is about 29451.7454830779. The cubic root of 867405312 is about 953.6902861830.

The spelling of 867405312 in words is "eight hundred sixty-seven million, four hundred five thousand, three hundred twelve".