165798360 has 384 divisors, whose sum is σ = 695217600. Its totient is φ = 34836480.

The previous prime is 165798343. The next prime is 165798371. The reversal of 165798360 is 63897561.

It is a happy number.

165798360 is a `hidden beast` number, since 16 + 579 + 8 + 3 + 60 = 666.

165798360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 95 ways as a sum of consecutive naturals, for example, 687840 + ... + 688080.

Almost surely, 2^165798360 is an apocalyptic number.

165798360 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 165798360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347608800).

165798360 is an abundant number, since it is smaller than the sum of its proper divisors (529419240).

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

165798360 is a wasteful number, since it uses less digits than its factorization.

165798360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 165798360 is about 12876.2711993807. The cubic root of 165798360 is about 549.3638485080.

The spelling of 165798360 in words is "one hundred sixty-five million, seven hundred ninety-eight thousand, three hundred sixty".