180006360 has 64 divisors (see below), whose sum is σ = 540902880. Its totient is φ = 47923200.

The previous prime is 180006347. The next prime is 180006373. The reversal of 180006360 is 63600081.

180006360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (180006347) and next prime (180006373).

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

It is a self number, because there is not a number n which added to its sum of digits gives 180006360.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137710 + ... + 139010.

Almost surely, 2^180006360 is an apocalyptic number.

180006360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

180006360 is an abundant number, since it is smaller than the sum of its proper divisors (360896520).

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

180006360 is a wasteful number, since it uses less digits than its factorization.

180006360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2468 (or 2464 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 180006360 is about 13416.6448861107. The cubic root of 180006360 is about 564.6282672382.

The spelling of 180006360 in words is "one hundred eighty million, six thousand, three hundred sixty".