331161120 has 144 divisors (see below), whose sum is σ = 1138318272. Its totient is φ = 87667200.

The previous prime is 331161113. The next prime is 331161133. The reversal of 331161120 is 21161133.

331161120 is a `hidden beast` number, since 3 + 31 + 1 + 611 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 331161093 and 331161102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216679 + ... + 218201.

It is an arithmetic number, because the mean of its divisors is an integer number (7904988).

Almost surely, 2^331161120 is an apocalyptic number.

331161120 is a gapful number since it is divisible by the number (30) 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 331161120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569159136).

331161120 is an abundant number, since it is smaller than the sum of its proper divisors (807157152).

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

331161120 is a wasteful number, since it uses less digits than its factorization.

331161120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1695 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 331161120 is about 18197.8328380057. The cubic root of 331161120 is about 691.8518622169.

The spelling of 331161120 in words is "three hundred thirty-one million, one hundred sixty-one thousand, one hundred twenty".