161020224 has 140 divisors (see below), whose sum is σ = 484060500. Its totient is φ = 52918272.

The previous prime is 161020213. The next prime is 161020259. The reversal of 161020224 is 422020161.

161020224 = 102³ + 103³ + ... + 165³.

It can be written as a sum of positive squares in 2 ways, for example, as 73410624 + 87609600 = 8568^2 + 9360^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 161020197 and 161020206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 461202 + ... + 461550.

It is an arithmetic number, because the mean of its divisors is an integer number (3457575).

Almost surely, 2^161020224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161020224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242030250).

161020224 is an abundant number, since it is smaller than the sum of its proper divisors (323040276).

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

161020224 is an equidigital number, since it uses as much as digits as its factorization.

161020224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 161020224 is about 12689.3744526671. The cubic root of 161020224 is about 544.0349602676.

Adding to 161020224 its reverse (422020161), we get a palindrome (583040385).

The spelling of 161020224 in words is "one hundred sixty-one million, twenty thousand, two hundred twenty-four".