30585240 has 192 divisors, whose sum is σ = 116251200. Its totient is φ = 6829056.

The previous prime is 30585223. The next prime is 30585241. The reversal of 30585240 is 4258503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30585241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133446 + ... + 133674.

It is an arithmetic number, because the mean of its divisors is an integer number (605475).

Almost surely, 2^30585240 is an apocalyptic number.

30585240 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 30585240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58125600).

30585240 is an abundant number, since it is smaller than the sum of its proper divisors (85665960).

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

30585240 is a wasteful number, since it uses less digits than its factorization.

30585240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 30585240 is about 5530.3923911419. The cubic root of 30585240 is about 312.7307820582.

The spelling of 30585240 in words is "thirty million, five hundred eighty-five thousand, two hundred forty".