165867408 has 120 divisors (see below), whose sum is σ = 539697600. Its totient is φ = 46570752.

The previous prime is 165867367. The next prime is 165867409. The reversal of 165867408 is 804768561.

It is a happy number.

165867408 is a `hidden beast` number, since 165 + 86 + 7 + 408 = 666.

It is not an unprimeable number, because it can be changed into a prime (165867409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58078 + ... + 60866.

It is an arithmetic number, because the mean of its divisors is an integer number (4497480).

Almost surely, 2^165867408 is an apocalyptic number.

165867408 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 165867408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269848800).

165867408 is an abundant number, since it is smaller than the sum of its proper divisors (373830192).

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

165867408 is a wasteful number, since it uses less digits than its factorization.

165867408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2869 (or 2860 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 165867408 is about 12878.9521312877. The cubic root of 165867408 is about 549.4401001880.

The spelling of 165867408 in words is "one hundred sixty-five million, eight hundred sixty-seven thousand, four hundred eight".