30288960 has 168 divisors, whose sum is σ = 112334040. Its totient is φ = 7446528.

The previous prime is 30288959. The next prime is 30288961. The reversal of 30288960 is 6988203.

It is an interprime number because it is at equal distance from previous prime (30288959) and next prime (30288961).

It can be written as a sum of positive squares in 4 ways, for example, as 3415104 + 26873856 = 1848^2 + 5184^2 .

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

It is not an unprimeable number, because it can be changed into a prime (30288961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37036 + ... + 37844.

It is an arithmetic number, because the mean of its divisors is an integer number (668655).

Almost surely, 2^30288960 is an apocalyptic number.

30288960 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 30288960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56167020).

30288960 is an abundant number, since it is smaller than the sum of its proper divisors (82045080).

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

30288960 is a wasteful number, since it uses less digits than its factorization.

30288960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 832 counting only the distinct ones).

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

The square root of 30288960 is about 5503.5406785087. The cubic root of 30288960 is about 311.7176933558.

The spelling of 30288960 in words is "thirty million, two hundred eighty-eight thousand, nine hundred sixty".