165876984 has 320 divisors, whose sum is σ = 597643200. Its totient is φ = 41803776.

The previous prime is 165876961. The next prime is 165877037. The reversal of 165876984 is 489678561.

165876984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 165876984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1710024 + ... + 1710120.

It is an arithmetic number, because the mean of its divisors is an integer number (1867635).

Almost surely, 2^165876984 is an apocalyptic number.

165876984 is a gapful number since it is divisible by the number (14) 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 165876984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298821600).

165876984 is an abundant number, since it is smaller than the sum of its proper divisors (431766216).

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

165876984 is a wasteful number, since it uses less digits than its factorization.

165876984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 151 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 165876984 is about 12879.3238952982. The cubic root of 165876984 is about 549.4506735675.

The spelling of 165876984 in words is "one hundred sixty-five million, eight hundred seventy-six thousand, nine hundred eighty-four".