165408936 has 192 divisors, whose sum is σ = 531148800. Its totient is φ = 42007680.

The previous prime is 165408931. The next prime is 165408941. The reversal of 165408936 is 639804561.

It is an interprime number because it is at equal distance from previous prime (165408931) and next prime (165408941).

It is a super-2 number, since 2×165408936² = 54720232217304192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (165408931) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1605861 + ... + 1605963.

It is an arithmetic number, because the mean of its divisors is an integer number (2766400).

Almost surely, 2^165408936 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 165408936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265574400).

165408936 is an abundant number, since it is smaller than the sum of its proper divisors (365739864).

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

165408936 is a wasteful number, since it uses less digits than its factorization.

165408936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 205 counting only the distinct ones).

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

The square root of 165408936 is about 12861.1405404031. The cubic root of 165408936 is about 548.9333995738.

The spelling of 165408936 in words is "one hundred sixty-five million, four hundred eight thousand, nine hundred thirty-six".