180096408 has 96 divisors (see below), whose sum is σ = 499458960. Its totient is φ = 58613760.

The previous prime is 180096401. The next prime is 180096437. The reversal of 180096408 is 804690081.

It is a happy number.

180096408 is a `hidden beast` number, since 1 + 8 + 0 + 0 + 9 + 640 + 8 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180096401) 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 23 ways as a sum of consecutive naturals, for example, 747168 + ... + 747408.

Almost surely, 2^180096408 is an apocalyptic number.

180096408 is a gapful number since it is divisible by the number (18) 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 180096408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249729480).

180096408 is an abundant number, since it is smaller than the sum of its proper divisors (319362552).

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

180096408 is a wasteful number, since it uses less digits than its factorization.

180096408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 180096408 is about 13420.0002980626. Note that the first 3 decimals coincide. The cubic root of 180096408 is about 564.7224031165.

The spelling of 180096408 in words is "one hundred eighty million, ninety-six thousand, four hundred eight".