181966368 has 96 divisors (see below), whose sum is σ = 517720896. Its totient is φ = 55738368.

The previous prime is 181966361. The next prime is 181966403. The reversal of 181966368 is 863669181.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×181966368² = 66223518166222848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (181966361) by changing a digit.

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, 68880 + ... + 71472.

It is an arithmetic number, because the mean of its divisors is an integer number (5392926).

Almost surely, 2^181966368 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 181966368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258860448).

181966368 is an abundant number, since it is smaller than the sum of its proper divisors (335754528).

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

181966368 is a wasteful number, since it uses less digits than its factorization.

181966368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2666 (or 2658 counting only the distinct ones).

The product of its digits is 373248, while the sum is 48.

The square root of 181966368 is about 13489.4910207910. The cubic root of 181966368 is about 566.6702012851.

The spelling of 181966368 in words is "one hundred eighty-one million, nine hundred sixty-six thousand, three hundred sixty-eight".