165945600 has 324 divisors, whose sum is σ = 616151536. Its totient is φ = 42577920.

The previous prime is 165945599. The next prime is 165945607. The reversal of 165945600 is 6549561.

165945600 is a `hidden beast` number, since 1 + 6 + 5 + 9 + 45 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (165945607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2476767 + ... + 2476833.

Almost surely, 2^165945600 is an apocalyptic number.

165945600 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 165945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308075768).

165945600 is an abundant number, since it is smaller than the sum of its proper divisors (450205936).

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

165945600 is a wasteful number, since it uses less digits than its factorization.

165945600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 165945600 is about 12881.9874243069. The cubic root of 165945600 is about 549.5264243022.

The spelling of 165945600 in words is "one hundred sixty-five million, nine hundred forty-five thousand, six hundred".