168215040 has 360 divisors, whose sum is σ = 682238700. Its totient is φ = 38191104.

The previous prime is 168215029. The next prime is 168215093. The reversal of 168215040 is 40512861.

It can be written as a sum of positive squares in 2 ways, for example, as 154554624 + 13660416 = 12432^2 + 3696^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a junction number, because it is equal to n+sod(n) for n = 168214995 and 168215013.

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 35 ways as a sum of consecutive naturals, for example, 1128886 + ... + 1129034.

Almost surely, 2^168215040 is an apocalyptic number.

168215040 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 168215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341119350).

168215040 is an abundant number, since it is smaller than the sum of its proper divisors (514023660).

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

168215040 is a wasteful number, since it uses less digits than its factorization.

168215040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 168215040 is about 12969.7740920958. The cubic root of 168215040 is about 552.0201630946.

The spelling of 168215040 in words is "one hundred sixty-eight million, two hundred fifteen thousand, forty".