165917360 has 80 divisors (see below), whose sum is σ = 445953600. Its totient is φ = 56229888.

The previous prime is 165917357. The next prime is 165917369. The reversal of 165917360 is 63719561.

165917360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (165917369) 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, 48176 + ... + 51504.

It is an arithmetic number, because the mean of its divisors is an integer number (5574420).

Almost surely, 2^165917360 is an apocalyptic number.

165917360 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 165917360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222976800).

165917360 is an abundant number, since it is smaller than the sum of its proper divisors (280036240).

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

165917360 is a wasteful number, since it uses less digits than its factorization.

165917360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3438 (or 3432 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 38.

The square root of 165917360 is about 12880.8912735105. The cubic root of 165917360 is about 549.4952504183.

The spelling of 165917360 in words is "one hundred sixty-five million, nine hundred seventeen thousand, three hundred sixty".