165629992 has 128 divisors (see below), whose sum is σ = 383616000. Its totient is φ = 66147840.

The previous prime is 165629987. The next prime is 165630013. The reversal of 165629992 is 299926561.

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, 2268868 + ... + 2268940.

It is an arithmetic number, because the mean of its divisors is an integer number (2997000).

Almost surely, 2^165629992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165629992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191808000).

165629992 is an abundant number, since it is smaller than the sum of its proper divisors (217986008).

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

165629992 is a wasteful number, since it uses less digits than its factorization.

165629992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 187 counting only the distinct ones).

The product of its digits is 524880, while the sum is 49.

The square root of 165629992 is about 12869.7316211334. The cubic root of 165629992 is about 549.1778261217.

The spelling of 165629992 in words is "one hundred sixty-five million, six hundred twenty-nine thousand, nine hundred ninety-two".