165506400 has 216 divisors, whose sum is σ = 591462144. Its totient is φ = 43545600.

The previous prime is 165506371. The next prime is 165506401. The reversal of 165506400 is 4605561.

It is a happy number.

165506400 is a `hidden beast` number, since 1 + 655 + 0 + 6 + 4 + 0 + 0 = 666.

165506400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165506401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 914310 + ... + 914490.

Almost surely, 2^165506400 is an apocalyptic number.

165506400 is a gapful number since it is divisible by the number (10) 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 165506400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295731072).

165506400 is an abundant number, since it is smaller than the sum of its proper divisors (425955744).

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

165506400 is a wasteful number, since it uses less digits than its factorization.

165506400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 165506400 is about 12864.9290709277. The cubic root of 165506400 is about 549.0411945160.

The spelling of 165506400 in words is "one hundred sixty-five million, five hundred six thousand, four hundred".