168816480 has 192 divisors, whose sum is σ = 621250560. Its totient is φ = 37730304.

The previous prime is 168816451. The next prime is 168816491. The reversal of 168816480 is 84618861.

It is a super-3 number, since 3×168816480³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157386 + ... + 158454.

It is an arithmetic number, because the mean of its divisors is an integer number (3235680).

Almost surely, 2^168816480 is an apocalyptic number.

168816480 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 168816480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310625280).

168816480 is an abundant number, since it is smaller than the sum of its proper divisors (452434080).

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

168816480 is a wasteful number, since it uses less digits than its factorization.

168816480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 168816480 is about 12992.9396211943. The cubic root of 168816480 is about 552.6772825025.

The spelling of 168816480 in words is "one hundred sixty-eight million, eight hundred sixteen thousand, four hundred eighty".