180989952 has 208 divisors, whose sum is σ = 572452608. Its totient is φ = 50135040.

The previous prime is 180989951. The next prime is 180989969. The reversal of 180989952 is 259989081.

It is a tau number, because it is divible by the number of its divisors (208).

It is a junction number, because it is equal to n+sod(n) for n = 180989895 and 180989904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180989951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1757133 + ... + 1757235.

It is an arithmetic number, because the mean of its divisors is an integer number (2752176).

Almost surely, 2^180989952 is an apocalyptic number.

180989952 is a gapful number since it is divisible by the number (12) 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 180989952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286226304).

180989952 is an abundant number, since it is smaller than the sum of its proper divisors (391462656).

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

180989952 is a wasteful number, since it uses less digits than its factorization.

180989952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 51.

The square root of 180989952 is about 13453.2506109118. The cubic root of 180989952 is about 565.6548149765.

The spelling of 180989952 in words is "one hundred eighty million, nine hundred eighty-nine thousand, nine hundred fifty-two".