168838560 has 576 divisors, whose sum is σ = 723945600. Its totient is φ = 36495360.

The previous prime is 168838547. The next prime is 168838567. The reversal of 168838560 is 65838861.

168838560 is a `hidden beast` number, since 1 + 6 + 8 + 83 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168838567) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8886231 + ... + 8886249.

It is an arithmetic number, because the mean of its divisors is an integer number (1256850).

Almost surely, 2^168838560 is an apocalyptic number.

168838560 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 168838560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361972800).

168838560 is an abundant number, since it is smaller than the sum of its proper divisors (555107040).

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

168838560 is a wasteful number, since it uses less digits than its factorization.

168838560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 168838560 is about 12993.7892856549. The cubic root of 168838560 is about 552.7013768769.

The spelling of 168838560 in words is "one hundred sixty-eight million, eight hundred thirty-eight thousand, five hundred sixty".