165594240 has 384 divisors, whose sum is σ = 688867200. Its totient is φ = 36827136.

The previous prime is 165594197. The next prime is 165594259. The reversal of 165594240 is 42495561.

165594240 is a `hidden beast` number, since 1 + 65 + 594 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 165594195 and 165594204.

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, 4475502 + ... + 4475538.

It is an arithmetic number, because the mean of its divisors is an integer number (1793925).

Almost surely, 2^165594240 is an apocalyptic number.

165594240 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 165594240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344433600).

165594240 is an abundant number, since it is smaller than the sum of its proper divisors (523272960).

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

165594240 is an equidigital number, since it uses as much as digits as its factorization.

165594240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 165594240 is about 12868.3425506162. The cubic root of 165594240 is about 549.1383090868.

The spelling of 165594240 in words is "one hundred sixty-five million, five hundred ninety-four thousand, two hundred forty".