165768768 has 392 divisors, whose sum is σ = 599663520. Its totient is φ = 44789760.

The previous prime is 165768763. The next prime is 165768821. The reversal of 165768768 is 867867561.

165768768 is a `hidden beast` number, since 1 + 6 + 576 + 8 + 7 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (165768763) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 8724663 + ... + 8724681.

Almost surely, 2^165768768 is an apocalyptic number.

165768768 is a gapful number since it is divisible by the number (18) 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 165768768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299831760).

165768768 is an abundant number, since it is smaller than the sum of its proper divisors (433894752).

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

165768768 is a wasteful number, since it uses less digits than its factorization.

165768768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 52 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The square root of 165768768 is about 12875.1220576739. The cubic root of 165768768 is about 549.3311627358.

The spelling of 165768768 in words is "one hundred sixty-five million, seven hundred sixty-eight thousand, seven hundred sixty-eight".