180225024 has 264 divisors, whose sum is σ = 603291840. Its totient is φ = 46792704.

The previous prime is 180225011. The next prime is 180225029. The reversal of 180225024 is 420522081.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 180224985 and 180225003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180225029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6214642 + ... + 6214670.

Almost surely, 2^180225024 is an apocalyptic number.

180225024 is a gapful number since it is divisible by the number (14) 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 180225024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301645920).

180225024 is an abundant number, since it is smaller than the sum of its proper divisors (423066816).

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

180225024 is a wasteful number, since it uses less digits than its factorization.

180225024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 180225024 is about 13424.7913950273. The cubic root of 180225024 is about 564.8568034527.

The spelling of 180225024 in words is "one hundred eighty million, two hundred twenty-five thousand, twenty-four".