169120224 has 288 divisors, whose sum is σ = 616412160. Its totient is φ = 44416512.

The previous prime is 169120213. The next prime is 169120249. The reversal of 169120224 is 422021961.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 707497 + ... + 707735.

It is an arithmetic number, because the mean of its divisors is an integer number (2140320).

Almost surely, 2^169120224 is an apocalyptic number.

169120224 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 169120224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308206080).

169120224 is an abundant number, since it is smaller than the sum of its proper divisors (447291936).

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

169120224 is a wasteful number, since it uses less digits than its factorization.

169120224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 169120224 is about 13004.6231779318. The cubic root of 169120224 is about 553.0085531368.

The spelling of 169120224 in words is "one hundred sixty-nine million, one hundred twenty thousand, two hundred twenty-four".