30384720 has 140 divisors (see below), whose sum is σ = 106121556. Its totient is φ = 8087040.

The previous prime is 30384719. The next prime is 30384737. The reversal of 30384720 is 2748303.

It can be written as a sum of positive squares in 2 ways, for example, as 9809424 + 20575296 = 3132^2 + 4536^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 58060 + ... + 58580.

Almost surely, 2^30384720 is an apocalyptic number.

30384720 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 30384720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53060778).

30384720 is an abundant number, since it is smaller than the sum of its proper divisors (75736836).

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

30384720 is an equidigital number, since it uses as much as digits as its factorization.

30384720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 30384720 is about 5512.2336670355. The cubic root of 30384720 is about 312.0458512496.

The spelling of 30384720 in words is "thirty million, three hundred eighty-four thousand, seven hundred twenty".