165427600 has 120 divisors (see below), whose sum is σ = 443174760. Its totient is φ = 58920960.

The previous prime is 165427589. The next prime is 165427601. The reversal of 165427600 is 6724561.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 89946256 + 75481344 = 9484^2 + 8688^2 .

It is not an unprimeable number, because it can be changed into a prime (165427601) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 150252 + ... + 151348.

It is an arithmetic number, because the mean of its divisors is an integer number (3693123).

Almost surely, 2^165427600 is an apocalyptic number.

165427600 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 165427600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221587380).

165427600 is an abundant number, since it is smaller than the sum of its proper divisors (277747160).

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

165427600 is a wasteful number, since it uses less digits than its factorization.

165427600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 165427600 is about 12861.8661165478. The cubic root of 165427600 is about 548.9540451888.

It can be divided in two parts, 16542 and 7600, that added together give a palindrome (24142).

The spelling of 165427600 in words is "one hundred sixty-five million, four hundred twenty-seven thousand, six hundred".