181363664 has 40 divisors (see below), whose sum is σ = 378934080. Its totient is φ = 83808000.

The previous prime is 181363661. The next prime is 181363681. The reversal of 181363664 is 466363181.

It is a happy number.

181363664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (181363661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5189 + ... + 19739.

It is an arithmetic number, because the mean of its divisors is an integer number (9473352).

Almost surely, 2^181363664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 181363664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189467040).

181363664 is an abundant number, since it is smaller than the sum of its proper divisors (197570416).

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

181363664 is a wasteful number, since it uses less digits than its factorization.

181363664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14619 (or 14613 counting only the distinct ones).

The product of its digits is 62208, while the sum is 38.

The square root of 181363664 is about 13467.1327312090. The cubic root of 181363664 is about 566.0438727869.

The spelling of 181363664 in words is "one hundred eighty-one million, three hundred sixty-three thousand, six hundred sixty-four".