165534720 has 176 divisors, whose sum is σ = 570867360. Its totient is φ = 40697856.

The previous prime is 165534713. The next prime is 165534739. The reversal of 165534720 is 27435561.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 199266 + ... + 200094.

Almost surely, 2^165534720 is an apocalyptic number.

165534720 is a gapful number since it is divisible by the number (10) 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 165534720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285433680).

165534720 is an abundant number, since it is smaller than the sum of its proper divisors (405332640).

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

165534720 is a wasteful number, since it uses less digits than its factorization.

165534720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 165534720 is about 12866.0296906233. The cubic root of 165534720 is about 549.0725084307.

The spelling of 165534720 in words is "one hundred sixty-five million, five hundred thirty-four thousand, seven hundred twenty".