165034440 has 96 divisors (see below), whose sum is σ = 538083000. Its totient is φ = 43868160.

The previous prime is 165034439. The next prime is 165034469. The reversal of 165034440 is 44430561.

165034440 is a `hidden beast` number, since 1 + 650 + 3 + 4 + 4 + 4 + 0 = 666.

165034440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 143856036 + 21178404 = 11994^2 + 4602^2 .

It is a super-2 number, since 2×165034440² = 54472732772227200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161130 + ... + 162150.

Almost surely, 2^165034440 is an apocalyptic number.

165034440 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 165034440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269041500).

165034440 is an abundant number, since it is smaller than the sum of its proper divisors (373048560).

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

165034440 is a wasteful number, since it uses less digits than its factorization.

165034440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 165034440 is about 12846.5730839006. The cubic root of 165034440 is about 548.5188135456.

The spelling of 165034440 in words is "one hundred sixty-five million, thirty-four thousand, four hundred forty".