180473088 has 144 divisors (see below), whose sum is σ = 531570816. Its totient is φ = 54067200.

The previous prime is 180473023. The next prime is 180473089. The reversal of 180473088 is 880374081.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180473089) 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, 299988 + ... + 300588.

It is an arithmetic number, because the mean of its divisors is an integer number (3691464).

Almost surely, 2^180473088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180473088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265785408).

180473088 is an abundant number, since it is smaller than the sum of its proper divisors (351097728).

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

180473088 is a wasteful number, since it uses less digits than its factorization.

180473088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 180473088 is about 13434.0272442779. The cubic root of 180473088 is about 565.1158433206.

The spelling of 180473088 in words is "one hundred eighty million, four hundred seventy-three thousand, eighty-eight".