168140880 has 320 divisors, whose sum is σ = 648172800. Its totient is φ = 39813120.

The previous prime is 168140873. The next prime is 168140887. The reversal of 168140880 is 88041861.

It is an interprime number because it is at equal distance from previous prime (168140873) and next prime (168140887).

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

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168140887) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 697560 + ... + 697800.

It is an arithmetic number, because the mean of its divisors is an integer number (2025540).

Almost surely, 2^168140880 is an apocalyptic number.

168140880 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 168140880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324086400).

168140880 is an abundant number, since it is smaller than the sum of its proper divisors (480031920).

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

168140880 is a wasteful number, since it uses less digits than its factorization.

168140880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 168140880 is about 12966.9148219613. The cubic root of 168140880 is about 551.9390291826.

The spelling of 168140880 in words is "one hundred sixty-eight million, one hundred forty thousand, eight hundred eighty".