170082432 has 192 divisors, whose sum is σ = 541883160. Its totient is φ = 50872320.

The previous prime is 170082421. The next prime is 170082439. The reversal of 170082432 is 234280071.

It can be written as a sum of positive squares in 4 ways, for example, as 42302016 + 127780416 = 6504^2 + 11304^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 170082396 and 170082405.

It is not an unprimeable number, because it can be changed into a prime (170082439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 613878 + ... + 614154.

Almost surely, 2^170082432 is an apocalyptic number.

170082432 is a gapful number since it is divisible by the number (12) 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 170082432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270941580).

170082432 is an abundant number, since it is smaller than the sum of its proper divisors (371800728).

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

170082432 is a wasteful number, since it uses less digits than its factorization.

170082432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 170082432 is about 13041.5655501937. The cubic root of 170082432 is about 554.0553494639.

The spelling of 170082432 in words is "one hundred seventy million, eighty-two thousand, four hundred thirty-two".