30080160 has 240 divisors, whose sum is σ = 116357472. Its totient is φ = 7257600.

The previous prime is 30080153. The next prime is 30080201. The reversal of 30080160 is 6108003.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 142455 + ... + 142665.

Almost surely, 2^30080160 is an apocalyptic number.

30080160 is a gapful number since it is divisible by the number (30) 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 30080160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58178736).

30080160 is an abundant number, since it is smaller than the sum of its proper divisors (86277312).

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

30080160 is a wasteful number, since it uses less digits than its factorization.

30080160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 30080160 is about 5484.5382668006. The cubic root of 30080160 is about 310.9997553098. Note that the first 3 decimals are identical.

Adding to 30080160 its reverse (6108003), we get a palindrome (36188163).

The spelling of 30080160 in words is "thirty million, eighty thousand, one hundred sixty".