165167820 has 72 divisors (see below), whose sum is σ = 502407360. Its totient is φ = 43921920.

The previous prime is 165167819. The next prime is 165167833. The reversal of 165167820 is 28761561.

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 23 ways as a sum of consecutive naturals, for example, 76516 + ... + 78644.

It is an arithmetic number, because the mean of its divisors is an integer number (6977880).

Almost surely, 2^165167820 is an apocalyptic number.

165167820 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 165167820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251203680).

165167820 is an abundant number, since it is smaller than the sum of its proper divisors (337239540).

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

165167820 is a wasteful number, since it uses less digits than its factorization.

165167820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2575 (or 2570 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 165167820 is about 12851.7633031425. The cubic root of 165167820 is about 548.6665437984. Note that the first 3 decimals are identical.

It can be divided in two parts, 16516 and 7820, that added together give a square (24336 = 156²).

The spelling of 165167820 in words is "one hundred sixty-five million, one hundred sixty-seven thousand, eight hundred twenty".