165628980 has 144 divisors (see below), whose sum is σ = 572068224. Its totient is φ = 38396160.

The previous prime is 165628973. The next prime is 165629017. The reversal of 165628980 is 89826561.

165628980 is a `hidden beast` number, since 1 + 6 + 562 + 8 + 9 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43722 + ... + 47358.

It is an arithmetic number, because the mean of its divisors is an integer number (3972696).

Almost surely, 2^165628980 is an apocalyptic number.

165628980 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 165628980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286034112).

165628980 is an abundant number, since it is smaller than the sum of its proper divisors (406439244).

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

165628980 is a wasteful number, since it uses less digits than its factorization.

165628980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3686 (or 3681 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 165628980 is about 12869.6923040141. The cubic root of 165628980 is about 549.1767076264.

It can be divided in two parts, 1656289 and 80, that added together give a square (1656369 = 1287²).

The spelling of 165628980 in words is "one hundred sixty-five million, six hundred twenty-eight thousand, nine hundred eighty".