169382016 has 240 divisors, whose sum is σ = 551502270. Its totient is φ = 51425280.

The previous prime is 169381997. The next prime is 169382039. The reversal of 169382016 is 610283961.

It can be written as a sum of positive squares in only one way, i.e., 124545600 + 44836416 = 11160^2 + 6696^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 5463921 + ... + 5463951.

Almost surely, 2^169382016 is an apocalyptic number.

169382016 is a gapful number since it is divisible by the number (16) 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 169382016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275751135).

169382016 is an abundant number, since it is smaller than the sum of its proper divisors (382120254).

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

169382016 is an equidigital number, since it uses as much as digits as its factorization.

169382016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 169382016 is about 13014.6846292947. The cubic root of 169382016 is about 553.2937517855.

The spelling of 169382016 in words is "one hundred sixty-nine million, three hundred eighty-two thousand, sixteen".