168041376 has 144 divisors (see below), whose sum is σ = 496215720. Its totient is φ = 53913600.

The previous prime is 168041353. The next prime is 168041389. The reversal of 168041376 is 673140861.

It can be written as a sum of positive squares in 4 ways, for example, as 165791376 + 2250000 = 12876^2 + 1500^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 168041376.

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, 1541610 + ... + 1541718.

Almost surely, 2^168041376 is an apocalyptic number.

168041376 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 168041376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248107860).

168041376 is an abundant number, since it is smaller than the sum of its proper divisors (328174344).

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

168041376 is a wasteful number, since it uses less digits than its factorization.

168041376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 168041376 is about 12963.0774124048. The cubic root of 168041376 is about 551.8301304653.

The spelling of 168041376 in words is "one hundred sixty-eight million, forty-one thousand, three hundred seventy-six".