165645480 has 384 divisors, whose sum is σ = 682577280. Its totient is φ = 31610880.

The previous prime is 165645461. The next prime is 165645533. The reversal of 165645480 is 84546561.

165645480 = T₂₀₉ + T₂₁₀ + ... + T₁₀₀₀.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 840742 + ... + 840938.

It is an arithmetic number, because the mean of its divisors is an integer number (1777545).

Almost surely, 2^165645480 is an apocalyptic number.

165645480 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 165645480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341288640).

165645480 is an abundant number, since it is smaller than the sum of its proper divisors (516931800).

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

165645480 is a wasteful number, since it uses less digits than its factorization.

165645480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 165645480 is about 12870.3333290168. Note that the first 4 decimals coincide. The cubic root of 165645480 is about 549.1949433941.

The spelling of 165645480 in words is "one hundred sixty-five million, six hundred forty-five thousand, four hundred eighty".