30871360 has 112 divisors (see below), whose sum is σ = 81546192. Its totient is φ = 11059200.

The previous prime is 30871349. The next prime is 30871361. The reversal of 30871360 is 6317803.

It can be written as a sum of positive squares in 8 ways, for example, as 18593344 + 12278016 = 4312^2 + 3504^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30871361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170470 + ... + 170650.

It is an arithmetic number, because the mean of its divisors is an integer number (728091).

Almost surely, 2^30871360 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 30871360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40773096).

30871360 is an abundant number, since it is smaller than the sum of its proper divisors (50674832).

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

30871360 is a wasteful number, since it uses less digits than its factorization.

30871360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 30871360 is about 5556.2001403837. The cubic root of 30871360 is about 313.7029389264.

The spelling of 30871360 in words is "thirty million, eight hundred seventy-one thousand, three hundred sixty".