81480168 has 320 divisors, whose sum is σ = 301086720. Its totient is φ = 19958400.

The previous prime is 81480149. The next prime is 81480181. The reversal of 81480168 is 86108418.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1147573 + ... + 1147643.

It is an arithmetic number, because the mean of its divisors is an integer number (940896).

Almost surely, 2^81480168 is an apocalyptic number.

81480168 is a gapful number since it is divisible by the number (88) 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 81480168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150543360).

81480168 is an abundant number, since it is smaller than the sum of its proper divisors (219606552).

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

81480168 is a wasteful number, since it uses less digits than its factorization.

81480168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 117 counting only the distinct ones).

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

The square root of 81480168 is about 9026.6365829139. The cubic root of 81480168 is about 433.5281527675.

It can be divided in two parts, 81 and 480168, that added together give a square (480249 = 693²).

The spelling of 81480168 in words is "eighty-one million, four hundred eighty thousand, one hundred sixty-eight".