168638976 has 160 divisors (see below), whose sum is σ = 545054400. Its totient is φ = 51056640.

The previous prime is 168638971. The next prime is 168638989. The reversal of 168638976 is 679836861.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (168638971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151510 + ... + 152618.

It is an arithmetic number, because the mean of its divisors is an integer number (3406590).

Almost surely, 2^168638976 is an apocalyptic number.

168638976 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 168638976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272527200).

168638976 is an abundant number, since it is smaller than the sum of its proper divisors (376415424).

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

168638976 is a wasteful number, since it uses less digits than its factorization.

168638976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1125 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 168638976 is about 12986.1070379079. The cubic root of 168638976 is about 552.4835083084.

The spelling of 168638976 in words is "one hundred sixty-eight million, six hundred thirty-eight thousand, nine hundred seventy-six".