165834864 has 240 divisors, whose sum is σ = 551652192. Its totient is φ = 47775744.

The previous prime is 165834833. The next prime is 165834883. The reversal of 165834864 is 468438561.

165834864 is a `hidden beast` number, since 1 + 6 + 583 + 4 + 8 + 64 = 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, 859152 + ... + 859344.

Almost surely, 2^165834864 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 165834864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275826096).

165834864 is an abundant number, since it is smaller than the sum of its proper divisors (385817328).

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

165834864 is a wasteful number, since it uses less digits than its factorization.

165834864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 228 counting only the distinct ones).

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

The square root of 165834864 is about 12877.6886124801. The cubic root of 165834864 is about 549.4041635557.

The spelling of 165834864 in words is "one hundred sixty-five million, eight hundred thirty-four thousand, eight hundred sixty-four".