165944240 has 240 divisors, whose sum is σ = 506634240. Its totient is φ = 49420800.

The previous prime is 165944237. The next prime is 165944249. The reversal of 165944240 is 42449561.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 165944240.

It is not an unprimeable number, because it can be changed into a prime (165944249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2100521 + ... + 2100599.

It is an arithmetic number, because the mean of its divisors is an integer number (2110976).

Almost surely, 2^165944240 is an apocalyptic number.

165944240 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 165944240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253317120).

165944240 is an abundant number, since it is smaller than the sum of its proper divisors (340690000).

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

165944240 is a wasteful number, since it uses less digits than its factorization.

165944240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 165944240 is about 12881.9346373128. The cubic root of 165944240 is about 549.5249230914.

The spelling of 165944240 in words is "one hundred sixty-five million, nine hundred forty-four thousand, two hundred forty".