165001600 has 48 divisors (see below), whose sum is σ = 407613420. Its totient is φ = 65999360.

The previous prime is 165001547. The next prime is 165001601. The reversal of 165001600 is 6100561.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165001601) 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 5 ways as a sum of consecutive naturals, for example, 22582 + ... + 28981.

Almost surely, 2^165001600 is an apocalyptic number.

165001600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165001600 is an abundant number, since it is smaller than the sum of its proper divisors (242611820).

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

165001600 is an equidigital number, since it uses as much as digits as its factorization.

165001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51587 (or 51570 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 165001600 is about 12845.2948584297. The cubic root of 165001600 is about 548.4824281043.

The spelling of 165001600 in words is "one hundred sixty-five million, one thousand, six hundred".