165034640 has 40 divisors (see below), whose sum is σ = 406279800. Its totient is φ = 62130176.

The previous prime is 165034567. The next prime is 165034643. The reversal of 165034640 is 46430561.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12166144 + 152868496 = 3488^2 + 12364^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (165034643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59315 + ... + 62034.

It is an arithmetic number, because the mean of its divisors is an integer number (10156995).

Almost surely, 2^165034640 is an apocalyptic number.

165034640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165034640 is an abundant number, since it is smaller than the sum of its proper divisors (241245160).

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

165034640 is a wasteful number, since it uses less digits than its factorization.

165034640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121379 (or 121373 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 165034640 is about 12846.5808680754. The cubic root of 165034640 is about 548.5190351230.

The spelling of 165034640 in words is "one hundred sixty-five million, thirty-four thousand, six hundred forty".