867342336 has 288 divisors, whose sum is σ = 2793510720. Its totient is φ = 238436352.

The previous prime is 867342323. The next prime is 867342367. The reversal of 867342336 is 633243768.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12945375 + ... + 12945441.

It is an arithmetic number, because the mean of its divisors is an integer number (9699690).

Almost surely, 2^867342336 is an apocalyptic number.

867342336 is a gapful number since it is divisible by the number (86) 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 867342336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396755360).

867342336 is an abundant number, since it is smaller than the sum of its proper divisors (1926168384).

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

867342336 is a wasteful number, since it uses less digits than its factorization.

867342336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 122 counting only the distinct ones).

The product of its digits is 435456, while the sum is 42.

The square root of 867342336 is about 29450.6763250014. The cubic root of 867342336 is about 953.6672054493.

The spelling of 867342336 in words is "eight hundred sixty-seven million, three hundred forty-two thousand, three hundred thirty-six".