161248608 has 72 divisors (see below), whose sum is σ = 473368896. Its totient is φ = 52012800.

The previous prime is 161248603. The next prime is 161248609. The reversal of 161248608 is 806842161.

161248608 is a `hidden beast` number, since 1 + 6 + 1 + 2 + 48 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×161248608² = 52002227163875328, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161248601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103 + ... + 17958.

It is an arithmetic number, because the mean of its divisors is an integer number (6574568).

Almost surely, 2^161248608 is an apocalyptic number.

161248608 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 161248608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236684448).

161248608 is an abundant number, since it is smaller than the sum of its proper divisors (312120288).

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

161248608 is a wasteful number, since it uses less digits than its factorization.

161248608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18108 (or 18097 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 161248608 is about 12698.3702891355. The cubic root of 161248608 is about 544.2920505065.

The spelling of 161248608 in words is "one hundred sixty-one million, two hundred forty-eight thousand, six hundred eight".