30465648 has 60 divisors (see below), whose sum is σ = 86322600. Its totient is φ = 10028928.

The previous prime is 30465623. The next prime is 30465661. The reversal of 30465648 is 84656403.

30465648 is a `hidden beast` number, since 3 + 0 + 4 + 6 + 5 + 648 = 666.

It is a super-3 number, since 3×30465648³ (a number of 23 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 10678 + ... + 13226.

It is an arithmetic number, because the mean of its divisors is an integer number (1438710).

Almost surely, 2^30465648 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 30465648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43161300).

30465648 is an abundant number, since it is smaller than the sum of its proper divisors (55856952).

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

30465648 is a wasteful number, since it uses less digits than its factorization.

30465648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2646 (or 2637 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 30465648 is about 5519.5695484340. The cubic root of 30465648 is about 312.3226445365.

It can be divided in two parts, 304656 and 48, that added together give a square (304704 = 552²).

The spelling of 30465648 in words is "thirty million, four hundred sixty-five thousand, six hundred forty-eight".