165930240 has 144 divisors (see below), whose sum is σ = 605743488. Its totient is φ = 37920768.

The previous prime is 165930221. The next prime is 165930253. The reversal of 165930240 is 42039561.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 165930198 and 165930207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23794 + ... + 29966.

It is an arithmetic number, because the mean of its divisors is an integer number (4206552).

Almost surely, 2^165930240 is an apocalyptic number.

165930240 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 165930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302871744).

165930240 is an abundant number, since it is smaller than the sum of its proper divisors (439813248).

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

165930240 is an equidigital number, since it uses as much as digits as its factorization.

165930240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6204 (or 6190 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 165930240 is about 12881.3912292112. The cubic root of 165930240 is about 549.5094689740.

The spelling of 165930240 in words is "one hundred sixty-five million, nine hundred thirty thousand, two hundred forty".