161507328 has 96 divisors (see below), whose sum is σ = 436625280. Its totient is φ = 53084160.

The previous prime is 161507299. The next prime is 161507329. The reversal of 161507328 is 823705161.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (161507329) 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 7 ways as a sum of consecutive naturals, for example, 595833 + ... + 596103.

It is an arithmetic number, because the mean of its divisors is an integer number (4548180).

Almost surely, 2^161507328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161507328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218312640).

161507328 is an abundant number, since it is smaller than the sum of its proper divisors (275117952).

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

161507328 is an equidigital number, since it uses as much as digits as its factorization.

161507328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 161507328 is about 12708.5533401721. The cubic root of 161507328 is about 544.5829966720.

The spelling of 161507328 in words is "one hundred sixty-one million, five hundred seven thousand, three hundred twenty-eight".