30840648 has 64 divisors (see below), whose sum is σ = 82944000. Its totient is φ = 9525312.

The previous prime is 30840619. The next prime is 30840661. The reversal of 30840648 is 84604803.

It is a super-3 number, since 3×30840648³ (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 15 ways as a sum of consecutive naturals, for example, 20713 + ... + 22151.

It is an arithmetic number, because the mean of its divisors is an integer number (1296000).

Almost surely, 2^30840648 is an apocalyptic number.

30840648 is a gapful number since it is divisible by the number (38) 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 30840648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41472000).

30840648 is an abundant number, since it is smaller than the sum of its proper divisors (52103352).

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

30840648 is a wasteful number, since it uses less digits than its factorization.

30840648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1514 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 30840648 is about 5553.4356933344. The cubic root of 30840648 is about 313.5988765491.

The spelling of 30840648 in words is "thirty million, eight hundred forty thousand, six hundred forty-eight".