165834240 has 320 divisors, whose sum is σ = 626959872. Its totient is φ = 36864000.

The previous prime is 165834211. The next prime is 165834281. The reversal of 165834240 is 42438561.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1098165 + ... + 1098315.

Almost surely, 2^165834240 is an apocalyptic number.

165834240 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 165834240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313479936).

165834240 is an abundant number, since it is smaller than the sum of its proper divisors (461125632).

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

165834240 is a wasteful number, since it uses less digits than its factorization.

165834240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 165834240 is about 12877.6643845070. The cubic root of 165834240 is about 549.4034744593.

The spelling of 165834240 in words is "one hundred sixty-five million, eight hundred thirty-four thousand, two hundred forty".