165501600 has 144 divisors (see below), whose sum is σ = 587774880. Its totient is φ = 40115200.

The previous prime is 165501599. The next prime is 165501607. The reversal of 165501600 is 6105561.

165501600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (165501607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23266 + ... + 29534.

It is an arithmetic number, because the mean of its divisors is an integer number (4081770).

Almost surely, 2^165501600 is an apocalyptic number.

165501600 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 165501600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293887440).

165501600 is an abundant number, since it is smaller than the sum of its proper divisors (422273280).

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

165501600 is a wasteful number, since it uses less digits than its factorization.

165501600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6303 (or 6290 counting only the distinct ones).

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

The square root of 165501600 is about 12864.7425158843. The cubic root of 165501600 is about 549.0358867189.

The spelling of 165501600 in words is "one hundred sixty-five million, five hundred one thousand, six hundred".