168688144 has 45 divisors (see below), whose sum is σ = 349016941. Its totient is φ = 78967040.

The previous prime is 168688129. The next prime is 168688171. The reversal of 168688144 is 441886861.

The square root of 168688144 is 12988.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 131331600 + 37356544 = 11460^2 + 6112^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 168688094 and 168688103.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 883089 + ... + 883279.

Almost surely, 2^168688144 is an apocalyptic number.

168688144 is the 12988-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168688144

168688144 is an abundant number, since it is smaller than the sum of its proper divisors (180328797).

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

168688144 is an equidigital number, since it uses as much as digits as its factorization.

168688144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 210 counting only the distinct ones).

The product of its digits is 294912, while the sum is 46.

The cubic root of 168688144 is about 552.5371967067.

The spelling of 168688144 in words is "one hundred sixty-eight million, six hundred eighty-eight thousand, one hundred forty-four".