165446820 has 384 divisors, whose sum is σ = 673505280. Its totient is φ = 32693760.

The previous prime is 165446819. The next prime is 165446833. The reversal of 165446820 is 28644561.

It is a super-2 number, since 2×165446820² = 54745300496224800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 956254 + ... + 956426.

It is an arithmetic number, because the mean of its divisors is an integer number (1753920).

Almost surely, 2^165446820 is an apocalyptic number.

165446820 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 165446820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336752640).

165446820 is an abundant number, since it is smaller than the sum of its proper divisors (508058460).

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

165446820 is a wasteful number, since it uses less digits than its factorization.

165446820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 165446820 is about 12862.6132648074. The cubic root of 165446820 is about 548.9753042133.

It can be divided in two parts, 165 and 446820, that added together give a triangular number (446985 = T₉₄₅).

The spelling of 165446820 in words is "one hundred sixty-five million, four hundred forty-six thousand, eight hundred twenty".