906342318 has 96 divisors (see below), whose sum is σ = 2480868000. Its totient is φ = 243710208.

The previous prime is 906342293. The next prime is 906342337. The reversal of 906342318 is 813243609.

906342318 is a `hidden beast` number, since 9 + 0 + 634 + 2 + 3 + 18 = 666.

It is a super-2 number, since 2×906342318² = 1642912794795226248, which contains 22 as substring.

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 Curzon number.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 34908 + ... + 55056.

It is an arithmetic number, because the mean of its divisors is an integer number (25842375).

Almost surely, 2^906342318 is an apocalyptic number.

906342318 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 906342318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240434000).

906342318 is an abundant number, since it is smaller than the sum of its proper divisors (1574525682).

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

906342318 is a wasteful number, since it uses less digits than its factorization.

906342318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20191 (or 20178 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 906342318 is about 30105.5197264555. The cubic root of 906342318 is about 967.7520189575.

The spelling of 906342318 in words is "nine hundred six million, three hundred forty-two thousand, three hundred eighteen".