165068640 has 288 divisors, whose sum is σ = 651714336. Its totient is φ = 37601280.

The previous prime is 165068639. The next prime is 165068663. The reversal of 165068640 is 46860561.

165068640 is a `hidden beast` number, since 1 + 6 + 5 + 0 + 6 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×165068640² = 54495311822899200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 165068595 and 165068604.

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, 268974 + ... + 269586.

It is an arithmetic number, because the mean of its divisors is an integer number (2262897).

Almost surely, 2^165068640 is an apocalyptic number.

165068640 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 165068640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325857168).

165068640 is an abundant number, since it is smaller than the sum of its proper divisors (486645696).

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

165068640 is a wasteful number, since it uses less digits than its factorization.

165068640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 165068640 is about 12847.9041092312. The cubic root of 165068640 is about 548.5567006835.

The spelling of 165068640 in words is "one hundred sixty-five million, sixty-eight thousand, six hundred forty".