165015600 has 120 divisors (see below), whose sum is σ = 559763280. Its totient is φ = 41410560.

The previous prime is 165015569. The next prime is 165015619. The reversal of 165015600 is 6510561.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 23 ways as a sum of consecutive naturals, for example, 16356 + ... + 24444.

It is an arithmetic number, because the mean of its divisors is an integer number (4664694).

Almost surely, 2^165015600 is an apocalyptic number.

165015600 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 165015600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279881640).

165015600 is an abundant number, since it is smaller than the sum of its proper divisors (394747680).

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

165015600 is a wasteful number, since it uses less digits than its factorization.

165015600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8127 (or 8116 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 165015600 is about 12845.8397934896. The cubic root of 165015600 is about 548.4979401495.

The spelling of 165015600 in words is "one hundred sixty-five million, fifteen thousand, six hundred".