161258944 has 112 divisors (see below), whose sum is σ = 408773376. Its totient is φ = 61286400.

The previous prime is 161258917. The next prime is 161258953. The reversal of 161258944 is 449852161.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 161258897 and 161258906.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 211524 + ... + 212284.

Almost surely, 2^161258944 is an apocalyptic number.

161258944 is a gapful number since it is divisible by the number (14) 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 161258944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204386688).

161258944 is an abundant number, since it is smaller than the sum of its proper divisors (247514432).

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

161258944 is a wasteful number, since it uses less digits than its factorization.

161258944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 824 counting only the distinct ones).

The product of its digits is 69120, while the sum is 40.

The square root of 161258944 is about 12698.7772639731. Note that the first 3 decimals coincide. The cubic root of 161258944 is about 544.3036799246.

The spelling of 161258944 in words is "one hundred sixty-one million, two hundred fifty-eight thousand, nine hundred forty-four".