181220480 has 128 divisors (see below), whose sum is σ = 521424000. Its totient is φ = 58834944.

The previous prime is 181220467. The next prime is 181220509. The reversal of 181220480 is 84022181.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84056 + ... + 86184.

It is an arithmetic number, because the mean of its divisors is an integer number (4073625).

Almost surely, 2^181220480 is an apocalyptic number.

181220480 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 181220480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260712000).

181220480 is an abundant number, since it is smaller than the sum of its proper divisors (340203520).

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

181220480 is a wasteful number, since it uses less digits than its factorization.

181220480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2174 (or 2162 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 181220480 is about 13461.8156279159. The cubic root of 181220480 is about 565.8948724078.

The spelling of 181220480 in words is "one hundred eighty-one million, two hundred twenty thousand, four hundred eighty".