181968096 has 24 divisors (see below), whose sum is σ = 477666504. Its totient is φ = 60656000.

The previous prime is 181968091. The next prime is 181968113. The reversal of 181968096 is 690869181.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×181968096² = 66224775923730432, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (181968091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 947655 + ... + 947846.

It is an arithmetic number, because the mean of its divisors is an integer number (19902771).

Almost surely, 2^181968096 is an apocalyptic number.

181968096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

181968096 is an abundant number, since it is smaller than the sum of its proper divisors (295698408).

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

181968096 is a wasteful number, since it uses less digits than its factorization.

181968096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1895514 (or 1895506 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 48.

The square root of 181968096 is about 13489.5550704981. Note that the first 3 decimals coincide. The cubic root of 181968096 is about 566.6719950287.

The spelling of 181968096 in words is "one hundred eighty-one million, nine hundred sixty-eight thousand, ninety-six".