181398960 has 160 divisors (see below), whose sum is σ = 630406080. Its totient is φ = 47941632.

The previous prime is 181398881. The next prime is 181398967. The reversal of 181398960 is 69893181.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (181398967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295614 + ... + 296226.

It is an arithmetic number, because the mean of its divisors is an integer number (3940038).

Almost surely, 2^181398960 is an apocalyptic number.

181398960 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 181398960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315203040).

181398960 is an abundant number, since it is smaller than the sum of its proper divisors (449007120).

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

181398960 is a wasteful number, since it uses less digits than its factorization.

181398960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 181398960 is about 13468.4431171535. The cubic root of 181398960 is about 566.0805905214.

The spelling of 181398960 in words is "one hundred eighty-one million, three hundred ninety-eight thousand, nine hundred sixty".