181468080 has 160 divisors (see below), whose sum is σ = 646833600. Its totient is φ = 46706688.

The previous prime is 181468061. The next prime is 181468099. The reversal of 181468080 is 80864181.

It is an interprime number because it is at equal distance from previous prime (181468061) and next prime (181468099).

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 31 ways as a sum of consecutive naturals, for example, 61192 + ... + 64088.

It is an arithmetic number, because the mean of its divisors is an integer number (4042710).

Almost surely, 2^181468080 is an apocalyptic number.

181468080 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 181468080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323416800).

181468080 is an abundant number, since it is smaller than the sum of its proper divisors (465365520).

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

181468080 is a wasteful number, since it uses less digits than its factorization.

181468080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2948 (or 2936 counting only the distinct ones).

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

The square root of 181468080 is about 13471.0088709050. The cubic root of 181468080 is about 566.1524809038.

The spelling of 181468080 in words is "one hundred eighty-one million, four hundred sixty-eight thousand, eighty".