165580140 has 192 divisors, whose sum is σ = 538513920. Its totient is φ = 37632000.

The previous prime is 165580123. The next prime is 165580147. The reversal of 165580140 is 41085561.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 165580098 and 165580107.

It is not an unprimeable number, because it can be changed into a prime (165580147) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 784635 + ... + 784845.

It is an arithmetic number, because the mean of its divisors is an integer number (2804760).

Almost surely, 2^165580140 is an apocalyptic number.

165580140 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 165580140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269256960).

165580140 is an abundant number, since it is smaller than the sum of its proper divisors (372933780).

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

165580140 is a wasteful number, since it uses less digits than its factorization.

165580140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 165580140 is about 12867.7946828507. The cubic root of 165580140 is about 549.1227226551.

The spelling of 165580140 in words is "one hundred sixty-five million, five hundred eighty thousand, one hundred forty".