168446880 has 288 divisors, whose sum is σ = 696294144. Its totient is φ = 36200448.

The previous prime is 168446857. The next prime is 168446899. The reversal of 168446880 is 88644861.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170869 + ... + 171851.

It is an arithmetic number, because the mean of its divisors is an integer number (2417688).

Almost surely, 2^168446880 is an apocalyptic number.

168446880 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 168446880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348147072).

168446880 is an abundant number, since it is smaller than the sum of its proper divisors (527847264).

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

168446880 is a wasteful number, since it uses less digits than its factorization.

168446880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 168446880 is about 12978.7087185128. The cubic root of 168446880 is about 552.2736513358.

The spelling of 168446880 in words is "one hundred sixty-eight million, four hundred forty-six thousand, eight hundred eighty".