165993048 has 96 divisors (see below), whose sum is σ = 488888400. Its totient is φ = 50575104.

The previous prime is 165993011. The next prime is 165993053. The reversal of 165993048 is 840399561.

It is a happy number.

165993048 is a `hidden beast` number, since 16 + 599 + 3 + 0 + 48 = 666.

165993048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 165992994 and 165993012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101211 + ... + 102837.

Almost surely, 2^165993048 is an apocalyptic number.

165993048 is a gapful number since it is divisible by the number (18) 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 165993048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244444200).

165993048 is an abundant number, since it is smaller than the sum of its proper divisors (322895352).

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

165993048 is a wasteful number, since it uses less digits than its factorization.

165993048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1761 (or 1754 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 165993048 is about 12883.8289339777. The cubic root of 165993048 is about 549.5787937636.

The spelling of 165993048 in words is "one hundred sixty-five million, nine hundred ninety-three thousand, forty-eight".