180009648 has 320 divisors, whose sum is σ = 672179200. Its totient is φ = 44789760.

The previous prime is 180009647. The next prime is 180009659. The reversal of 180009648 is 846900081.

It is a happy number.

180009648 is a `hidden beast` number, since 1 + 8 + 0 + 0 + 0 + 9 + 648 = 666.

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 (180009647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 746808 + ... + 747048.

It is an arithmetic number, because the mean of its divisors is an integer number (2100560).

Almost surely, 2^180009648 is an apocalyptic number.

180009648 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 180009648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336089600).

180009648 is an abundant number, since it is smaller than the sum of its proper divisors (492169552).

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

180009648 is a wasteful number, since it uses less digits than its factorization.

180009648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 285 counting only the distinct ones).

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

The square root of 180009648 is about 13416.7674199115. The cubic root of 180009648 is about 564.6317050546.

The spelling of 180009648 in words is "one hundred eighty million, nine thousand, six hundred forty-eight".