31134168 has 192 divisors, whose sum is σ = 99590400. Its totient is φ = 8709120.

The previous prime is 31134143. The next prime is 31134221. The reversal of 31134168 is 86143113.

31134168 is a `hidden beast` number, since 311 + 341 + 6 + 8 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 841446 + ... + 841482.

It is an arithmetic number, because the mean of its divisors is an integer number (518700).

Almost surely, 2^31134168 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 31134168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49795200).

31134168 is an abundant number, since it is smaller than the sum of its proper divisors (68456232).

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

31134168 is a wasteful number, since it uses less digits than its factorization.

31134168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 115 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 31134168 is about 5579.7999964156. The cubic root of 31134168 is about 314.5906095106.

The spelling of 31134168 in words is "thirty-one million, one hundred thirty-four thousand, one hundred sixty-eight".