180768896 has 64 divisors (see below), whose sum is σ = 449012160. Its totient is φ = 70425600.

The previous prime is 180768859. The next prime is 180768901. The reversal of 180768896 is 698867081.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×180768896² = 65354787522117632, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 686 + ... + 19026.

It is an arithmetic number, because the mean of its divisors is an integer number (7015815).

Almost surely, 2^180768896 is an apocalyptic number.

180768896 is a gapful number since it is divisible by the number (16) 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 180768896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224506080).

180768896 is an abundant number, since it is smaller than the sum of its proper divisors (268243264).

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

180768896 is a wasteful number, since it uses less digits than its factorization.

180768896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18373 (or 18361 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 53.

The square root of 180768896 is about 13445.0323911845. The cubic root of 180768896 is about 565.4244295669.

The spelling of 180768896 in words is "one hundred eighty million, seven hundred sixty-eight thousand, eight hundred ninety-six".