165549840 has 160 divisors (see below), whose sum is σ = 535132416. Its totient is φ = 42301440.

The previous prime is 165549829. The next prime is 165549851. The reversal of 165549840 is 48945561.

It is an interprime number because it is at equal distance from previous prime (165549829) and next prime (165549851).

It is a junction number, because it is equal to n+sod(n) for n = 165549792 and 165549801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 914550 + ... + 914730.

Almost surely, 2^165549840 is an apocalyptic number.

165549840 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 165549840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267566208).

165549840 is an abundant number, since it is smaller than the sum of its proper divisors (369582576).

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

165549840 is a wasteful number, since it uses less digits than its factorization.

165549840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 165549840 is about 12866.6172710624. The cubic root of 165549840 is about 549.0892254142.

The spelling of 165549840 in words is "one hundred sixty-five million, five hundred forty-nine thousand, eight hundred forty".