180406296 has 192 divisors, whose sum is σ = 593049600. Its totient is φ = 48432384.

The previous prime is 180406279. The next prime is 180406309. The reversal of 180406296 is 692604081.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 180406296.

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, 915670 + ... + 915866.

It is an arithmetic number, because the mean of its divisors is an integer number (3088800).

Almost surely, 2^180406296 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 180406296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296524800).

180406296 is an abundant number, since it is smaller than the sum of its proper divisors (412643304).

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

180406296 is a wasteful number, since it uses less digits than its factorization.

180406296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 180406296 is about 13431.5410880509. The cubic root of 180406296 is about 565.0461193982.

It can be divided in two parts, 18040 and 6296, that added together give a square (24336 = 156²).

The spelling of 180406296 in words is "one hundred eighty million, four hundred six thousand, two hundred ninety-six".