165434880 has 160 divisors (see below), whose sum is σ = 569901024. Its totient is φ = 40697856.

The previous prime is 165434873. The next prime is 165434903. The reversal of 165434880 is 88434561.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×165434880² = 54737399041228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99012 + ... + 100668.

Almost surely, 2^165434880 is an apocalyptic number.

165434880 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 165434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284950512).

165434880 is an abundant number, since it is smaller than the sum of its proper divisors (404466144).

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

165434880 is a wasteful number, since it uses less digits than its factorization.

165434880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 165434880 is about 12862.1491205786. The cubic root of 165434880 is about 548.9620977081.

The spelling of 165434880 in words is "one hundred sixty-five million, four hundred thirty-four thousand, eight hundred eighty".