169116480 has 168 divisors, whose sum is σ = 626574312. Its totient is φ = 41619456.

The previous prime is 169116469. The next prime is 169116491. The reversal of 169116480 is 84611961.

It is a happy number.

169116480 is a `hidden beast` number, since 1 + 6 + 9 + 1 + 1 + 648 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (169116469) and next prime (169116491).

It can be written as a sum of positive squares in 4 ways, for example, as 9144576 + 159971904 = 3024^2 + 12648^2 .

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35182 + ... + 39698.

It is an arithmetic number, because the mean of its divisors is an integer number (3729609).

Almost surely, 2^169116480 is an apocalyptic number.

169116480 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 169116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313287156).

169116480 is an abundant number, since it is smaller than the sum of its proper divisors (457457832).

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

169116480 is a wasteful number, since it uses less digits than its factorization.

169116480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4553 (or 4540 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 169116480 is about 13004.4792283274. The cubic root of 169116480 is about 553.0044722543.

The spelling of 169116480 in words is "one hundred sixty-nine million, one hundred sixteen thousand, four hundred eighty".