165330440 has 192 divisors, whose sum is σ = 463294080. Its totient is φ = 52377600.

The previous prime is 165330433. The next prime is 165330461. The reversal of 165330440 is 44033561.

165330440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (26) 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5333225 + ... + 5333255.

It is an arithmetic number, because the mean of its divisors is an integer number (2412990).

Almost surely, 2^165330440 is an apocalyptic number.

165330440 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 165330440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231647040).

165330440 is an abundant number, since it is smaller than the sum of its proper divisors (297963640).

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

165330440 is a wasteful number, since it uses less digits than its factorization.

165330440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 165330440 is about 12858.0885049062. The cubic root of 165330440 is about 548.8465524037.

The spelling of 165330440 in words is "one hundred sixty-five million, three hundred thirty thousand, four hundred forty".