165210408 has 128 divisors (see below), whose sum is σ = 517017600. Its totient is φ = 48427200.

The previous prime is 165210391. The next prime is 165210427. The reversal of 165210408 is 804012561.

165210408 is a `hidden beast` number, since 1 + 652 + 1 + 0 + 4 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 72535 + ... + 74777.

It is an arithmetic number, because the mean of its divisors is an integer number (4039200).

Almost surely, 2^165210408 is an apocalyptic number.

165210408 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 165210408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258508800).

165210408 is an abundant number, since it is smaller than the sum of its proper divisors (351807192).

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

165210408 is a wasteful number, since it uses less digits than its factorization.

165210408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2300 (or 2290 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 165210408 is about 12853.4200896104. The cubic root of 165210408 is about 548.7136970569.

Adding to 165210408 its reverse (804012561), we get a palindrome (969222969).

The spelling of 165210408 in words is "one hundred sixty-five million, two hundred ten thousand, four hundred eight".