160948032 has 112 divisors (see below), whose sum is σ = 502505472. Its totient is φ = 44490240.

The previous prime is 160948013. The next prime is 160948093. The reversal of 160948032 is 230849061.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 160947984 and 160948002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39733 + ... + 43595.

It is an arithmetic number, because the mean of its divisors is an integer number (4486656).

Almost surely, 2^160948032 is an apocalyptic number.

160948032 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 160948032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251252736).

160948032 is an abundant number, since it is smaller than the sum of its proper divisors (341557440).

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

160948032 is a wasteful number, since it uses less digits than its factorization.

160948032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3916 (or 3906 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 160948032 is about 12686.5295490926. The cubic root of 160948032 is about 543.9536436854.

The spelling of 160948032 in words is "one hundred sixty million, nine hundred forty-eight thousand, thirty-two".