169406720 has 216 divisors, whose sum is σ = 491430744. Its totient is φ = 55738368.

The previous prime is 169406689. The next prime is 169406729. The reversal of 169406720 is 27604961.

It can be written as a sum of positive squares in 4 ways, for example, as 51380224 + 118026496 = 7168^2 + 10864^2 .

It is a super-3 number, since 3×169406720³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (169406729) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2320604 + ... + 2320676.

Almost surely, 2^169406720 is an apocalyptic number.

169406720 is a gapful number since it is divisible by the number (10) 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 169406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245715372).

169406720 is an abundant number, since it is smaller than the sum of its proper divisors (322024024).

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

169406720 is an equidigital number, since it uses as much as digits as its factorization.

169406720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 169406720 is about 13015.6336764677. The cubic root of 169406720 is about 553.3206493762.

The spelling of 169406720 in words is "one hundred sixty-nine million, four hundred six thousand, seven hundred twenty".