30180160 has 56 divisors (see below), whose sum is σ = 73837800. Its totient is φ = 11741184.

The previous prime is 30180131. The next prime is 30180169. The reversal of 30180160 is 6108103.

30180160 = 66² + 67² + ... + 449².

It can be written as a sum of positive squares in 4 ways, for example, as 15618304 + 14561856 = 3952^2 + 3816^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30180169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10566 + ... + 13114.

Almost surely, 2^30180160 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 30180160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36918900).

30180160 is an abundant number, since it is smaller than the sum of its proper divisors (43657640).

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

30180160 is a wasteful number, since it uses less digits than its factorization.

30180160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2603 (or 2593 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 30180160 is about 5493.6472402221. The cubic root of 30180160 is about 311.3440085274.

Adding to 30180160 its reverse (6108103), we get a palindrome (36288263).

The spelling of 30180160 in words is "thirty million, one hundred eighty thousand, one hundred sixty".