165541600 has 216 divisors, whose sum is σ = 486250128. Its totient is φ = 54835200.

The previous prime is 165541573. The next prime is 165541601. The reversal of 165541600 is 6145561.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165541601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1607149 + ... + 1607251.

It is an arithmetic number, because the mean of its divisors is an integer number (2251158).

Almost surely, 2^165541600 is an apocalyptic number.

165541600 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 165541600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243125064).

165541600 is an abundant number, since it is smaller than the sum of its proper divisors (320708528).

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

165541600 is a wasteful number, since it uses less digits than its factorization.

165541600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 165541600 is about 12866.2970585946. The cubic root of 165541600 is about 549.0801152267.

The spelling of 165541600 in words is "one hundred sixty-five million, five hundred forty-one thousand, six hundred".