161752968 has 96 divisors (see below), whose sum is σ = 479682840. Its totient is φ = 48936960.

The previous prime is 161752963. The next prime is 161753017. The reversal of 161752968 is 869257161.

161752968 is a `hidden beast` number, since 1 + 61 + 7 + 529 + 68 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 55621764 + 106131204 = 7458^2 + 10302^2 .

It is not an unprimeable number, because it can be changed into a prime (161752963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55680 + ... + 58512.

Almost surely, 2^161752968 is an apocalyptic number.

161752968 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 161752968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239841420).

161752968 is an abundant number, since it is smaller than the sum of its proper divisors (317929872).

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

161752968 is a wasteful number, since it uses less digits than its factorization.

161752968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2919 (or 2912 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 161752968 is about 12718.2140255619. The cubic root of 161752968 is about 544.8589461858.

The spelling of 161752968 in words is "one hundred sixty-one million, seven hundred fifty-two thousand, nine hundred sixty-eight".