165617040 has 80 divisors (see below), whose sum is σ = 525966336. Its totient is φ = 43084800.

The previous prime is 165617029. The next prime is 165617047. The reversal of 165617040 is 40716561.

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

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 = 165616989 and 165617007.

It is not an unprimeable number, because it can be changed into a prime (165617047) 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, 1425 + ... + 18255.

Almost surely, 2^165617040 is an apocalyptic number.

165617040 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 165617040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262983168).

165617040 is an abundant number, since it is smaller than the sum of its proper divisors (360349296).

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

165617040 is a wasteful number, since it uses less digits than its factorization.

165617040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16888 (or 16882 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 165617040 is about 12869.2284150993. The cubic root of 165617040 is about 549.1635108065.

The spelling of 165617040 in words is "one hundred sixty-five million, six hundred seventeen thousand, forty".