168834456 has 192 divisors, whose sum is σ = 571334400. Its totient is φ = 45629568.

The previous prime is 168834409. The next prime is 168834461. The reversal of 168834456 is 654438861.

168834456 is a `hidden beast` number, since 168 + 8 + 34 + 456 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258226 + ... + 258878.

It is an arithmetic number, because the mean of its divisors is an integer number (2975700).

Almost surely, 2^168834456 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 168834456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285667200).

168834456 is an abundant number, since it is smaller than the sum of its proper divisors (402499944).

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

168834456 is a wasteful number, since it uses less digits than its factorization.

168834456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 684 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 168834456 is about 12993.6313630948. The cubic root of 168834456 is about 552.6968986249.

The spelling of 168834456 in words is "one hundred sixty-eight million, eight hundred thirty-four thousand, four hundred fifty-six".