165498336 has 192 divisors, whose sum is σ = 514805760. Its totient is φ = 51632640.

The previous prime is 165498313. The next prime is 165498371. The reversal of 165498336 is 633894561.

Its product of digits (466560) is a multiple of the sum of its prime divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 165498291 and 165498300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 990925 + ... + 991091.

It is an arithmetic number, because the mean of its divisors is an integer number (2681280).

Almost surely, 2^165498336 is an apocalyptic number.

165498336 is a gapful number since it is divisible by the number (16) 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 165498336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257402880).

165498336 is an abundant number, since it is smaller than the sum of its proper divisors (349307424).

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

165498336 is a wasteful number, since it uses less digits than its factorization.

165498336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 240 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 165498336 is about 12864.6156569095. The cubic root of 165498336 is about 549.0322773582.

It can be divided in two parts, 165 and 498336, that added together give a triangular number (498501 = T₉₉₈).

The spelling of 165498336 in words is "one hundred sixty-five million, four hundred ninety-eight thousand, three hundred thirty-six".