165346944 has 128 divisors (see below), whose sum is σ = 506736000. Its totient is φ = 46792704.

The previous prime is 165346943. The next prime is 165346957. The reversal of 165346944 is 449643561.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×165346944² = 54679223780278272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 165346896 and 165346905.

It is not an unprimeable number, because it can be changed into a prime (165346943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 368032 + ... + 368480.

It is an arithmetic number, because the mean of its divisors is an integer number (3958875).

Almost surely, 2^165346944 is an apocalyptic number.

165346944 is a gapful number since it is divisible by the number (14) 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 165346944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253368000).

165346944 is an abundant number, since it is smaller than the sum of its proper divisors (341389056).

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

165346944 is a wasteful number, since it uses less digits than its factorization.

165346944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 598 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The square root of 165346944 is about 12858.7302639102. The cubic root of 165346944 is about 548.8648145421.

The spelling of 165346944 in words is "one hundred sixty-five million, three hundred forty-six thousand, nine hundred forty-four".