165945360 has 240 divisors, whose sum is σ = 608639616. Its totient is φ = 37287936.

The previous prime is 165945349. The next prime is 165945397. The reversal of 165945360 is 63549561.

It is a tau number, because it is divible by the number of its divisors (240).

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, 1211212 + ... + 1211348.

Almost surely, 2^165945360 is an apocalyptic number.

165945360 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 165945360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304319808).

165945360 is an abundant number, since it is smaller than the sum of its proper divisors (442694256).

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

165945360 is a wasteful number, since it uses less digits than its factorization.

165945360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 165945360 is about 12881.9781089707. The cubic root of 165945360 is about 549.5261593832.

The spelling of 165945360 in words is "one hundred sixty-five million, nine hundred forty-five thousand, three hundred sixty".