180275040 has 288 divisors, whose sum is σ = 707616000. Its totient is φ = 41333760.

The previous prime is 180275027. The next prime is 180275083. The reversal of 180275040 is 40572081.

180275040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 180274995 and 180275013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 300661 + ... + 301259.

It is an arithmetic number, because the mean of its divisors is an integer number (2457000).

Almost surely, 2^180275040 is an apocalyptic number.

180275040 is a gapful number since it is divisible by the number (10) 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 180275040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353808000).

180275040 is an abundant number, since it is smaller than the sum of its proper divisors (527340960).

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

180275040 is a wasteful number, since it uses less digits than its factorization.

180275040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 180275040 is about 13426.6540880444. The cubic root of 180275040 is about 564.9090515889.

The spelling of 180275040 in words is "one hundred eighty million, two hundred seventy-five thousand, forty".