168866880 has 224 divisors, whose sum is σ = 660221184. Its totient is φ = 35610624.

The previous prime is 168866869. The next prime is 168866881. The reversal of 168866880 is 88668861.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168866881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86394 + ... + 88326.

It is an arithmetic number, because the mean of its divisors is an integer number (2947416).

Almost surely, 2^168866880 is an apocalyptic number.

168866880 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 168866880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330110592).

168866880 is an abundant number, since it is smaller than the sum of its proper divisors (491354304).

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

168866880 is a wasteful number, since it uses less digits than its factorization.

168866880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1973 (or 1963 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 51.

The square root of 168866880 is about 12994.8789913566. The cubic root of 168866880 is about 552.7322774562.

The spelling of 168866880 in words is "one hundred sixty-eight million, eight hundred sixty-six thousand, eight hundred eighty".