161968248 has 288 divisors, whose sum is σ = 539557200. Its totient is φ = 45287424.

The previous prime is 161968243. The next prime is 161968259. The reversal of 161968248 is 842869161.

161968248 is a `hidden beast` number, since 1 + 619 + 6 + 8 + 24 + 8 = 666.

161968248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

Its product of digits (165888) is a multiple of the sum of its prime divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161968241) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5585098 + ... + 5585126.

Almost surely, 2^161968248 is an apocalyptic number.

161968248 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 161968248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269778600).

161968248 is an abundant number, since it is smaller than the sum of its proper divisors (377588952).

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

161968248 is a wasteful number, since it uses less digits than its factorization.

161968248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 64 counting only the distinct ones).

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

The square root of 161968248 is about 12726.6746638704. The cubic root of 161968248 is about 545.1005599589.

The spelling of 161968248 in words is "one hundred sixty-one million, nine hundred sixty-eight thousand, two hundred forty-eight".