181448960 has 216 divisors, whose sum is σ = 553646016. Its totient is φ = 56340480.

The previous prime is 181448957. The next prime is 181448963. The reversal of 181448960 is 69844181.

It is an interprime number because it is at equal distance from previous prime (181448957) and next prime (181448963).

It is not an unprimeable number, because it can be changed into a prime (181448963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 689789 + ... + 690051.

It is an arithmetic number, because the mean of its divisors is an integer number (2563176).

Almost surely, 2^181448960 is an apocalyptic number.

181448960 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 181448960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276823008).

181448960 is an abundant number, since it is smaller than the sum of its proper divisors (372197056).

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

181448960 is a wasteful number, since it uses less digits than its factorization.

181448960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 41.

The square root of 181448960 is about 13470.2991800479. The cubic root of 181448960 is about 566.1325963863.

The spelling of 181448960 in words is "one hundred eighty-one million, four hundred forty-eight thousand, nine hundred sixty".