161482968 has 96 divisors (see below), whose sum is σ = 458265600. Its totient is φ = 51307200.

The previous prime is 161482943. The next prime is 161482987. The reversal of 161482968 is 869284161.

161482968 is a `hidden beast` number, since 1 + 614 + 8 + 29 + 6 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 157963 + ... + 158981.

It is an arithmetic number, because the mean of its divisors is an integer number (4773600).

Almost surely, 2^161482968 is an apocalyptic number.

161482968 is a gapful number since it is divisible by the number (18) 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 161482968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229132800).

161482968 is an abundant number, since it is smaller than the sum of its proper divisors (296782632).

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

161482968 is a wasteful number, since it uses less digits than its factorization.

161482968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1126 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 161482968 is about 12707.5948943929. The cubic root of 161482968 is about 544.5556156464. Note that the first 3 decimals are identical.

The spelling of 161482968 in words is "one hundred sixty-one million, four hundred eighty-two thousand, nine hundred sixty-eight".