180406516 has 18 divisors (see below), whose sum is σ = 335377238. Its totient is φ = 84896640.

The previous prime is 180406511. The next prime is 180406537. The reversal of 180406516 is 615604081.

It can be written as a sum of positive squares in 3 ways, for example, as 138156516 + 42250000 = 11754^2 + 6500^2 .

It is a super-2 number, since 2×180406516² = 65093022030516512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180406511) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 76875 + ... + 79186.

Almost surely, 2^180406516 is an apocalyptic number.

It is an amenable number.

180406516 is a deficient number, since it is larger than the sum of its proper divisors (154970722).

180406516 is a wasteful number, since it uses less digits than its factorization.

180406516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156099 (or 156080 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 180406516 is about 13431.5492777267. The cubic root of 180406516 is about 565.0463490836.

It can be divided in two parts, 1804065 and 16, that added together give a palindrome (1804081).

The spelling of 180406516 in words is "one hundred eighty million, four hundred six thousand, five hundred sixteen".