161936320 has 224 divisors, whose sum is σ = 487484928. Its totient is φ = 49876992.

The previous prime is 161936317. The next prime is 161936351. The reversal of 161936320 is 23639161.

161936320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1950999 + ... + 1951081.

It is an arithmetic number, because the mean of its divisors is an integer number (2176272).

Almost surely, 2^161936320 is an apocalyptic number.

161936320 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 161936320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243742464).

161936320 is an abundant number, since it is smaller than the sum of its proper divisors (325548608).

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

161936320 is a wasteful number, since it uses less digits than its factorization.

161936320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 31.

The square root of 161936320 is about 12725.4202288176. The cubic root of 161936320 is about 545.0647399456.

The spelling of 161936320 in words is "one hundred sixty-one million, nine hundred thirty-six thousand, three hundred twenty".