165390768 has 80 divisors (see below), whose sum is σ = 477692640. Its totient is φ = 54786816.

The previous prime is 165390767. The next prime is 165390803. The reversal of 165390768 is 867093561.

It is a happy number.

It is a super-2 number, since 2×165390768² = 54708212279259648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (165390767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73630 + ... + 75842.

It is an arithmetic number, because the mean of its divisors is an integer number (5971158).

Almost surely, 2^165390768 is an apocalyptic number.

165390768 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 165390768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238846320).

165390768 is an abundant number, since it is smaller than the sum of its proper divisors (312301872).

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

165390768 is a wasteful number, since it uses less digits than its factorization.

165390768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2403 (or 2391 counting only the distinct ones).

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

The square root of 165390768 is about 12860.4342072886. The cubic root of 165390768 is about 548.9133011289.

The spelling of 165390768 in words is "one hundred sixty-five million, three hundred ninety thousand, seven hundred sixty-eight".