165693840 has 160 divisors (see below), whose sum is σ = 577463040. Its totient is φ = 38995968.

The previous prime is 165693839. The next prime is 165693841. The reversal of 165693840 is 48396561.

165693840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (165693839) and next prime (165693841).

It is a super-2 number, since 2×165693840² = 54908897227891200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 165693792 and 165693801.

It is not an unprimeable number, because it can be changed into a prime (165693841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70606 + ... + 72914.

It is an arithmetic number, because the mean of its divisors is an integer number (3609144).

Almost surely, 2^165693840 is an apocalyptic number.

165693840 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 165693840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288731520).

165693840 is an abundant number, since it is smaller than the sum of its proper divisors (411769200).

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

165693840 is a wasteful number, since it uses less digits than its factorization.

165693840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2361 (or 2355 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 165693840 is about 12872.2119311329. The cubic root of 165693840 is about 549.2483837964.

The spelling of 165693840 in words is "one hundred sixty-five million, six hundred ninety-three thousand, eight hundred forty".