30648672 has 96 divisors (see below), whose sum is σ = 94147200. Its totient is φ = 9673344.

The previous prime is 30648661. The next prime is 30648697. The reversal of 30648672 is 27684603.

30648672 is a `hidden beast` number, since 3 + 0 + 648 + 6 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15483 + ... + 17349.

It is an arithmetic number, because the mean of its divisors is an integer number (980700).

Almost surely, 2^30648672 is an apocalyptic number.

30648672 is a gapful number since it is divisible by the number (32) 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 30648672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47073600).

30648672 is an abundant number, since it is smaller than the sum of its proper divisors (63498528).

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

30648672 is a wasteful number, since it uses less digits than its factorization.

30648672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1905 (or 1891 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 30648672 is about 5536.1242760617. The cubic root of 30648672 is about 312.9468278923.

The spelling of 30648672 in words is "thirty million, six hundred forty-eight thousand, six hundred seventy-two".