30248064 has 288 divisors, whose sum is σ = 112869120. Its totient is φ = 7603200.

The previous prime is 30248051. The next prime is 30248069. The reversal of 30248064 is 46084203.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30248069) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 975729 + ... + 975759.

Almost surely, 2^30248064 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 30248064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56434560).

30248064 is an abundant number, since it is smaller than the sum of its proper divisors (82621056).

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

30248064 is a wasteful number, since it uses less digits than its factorization.

30248064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 30248064 is about 5499.8239971839. The cubic root of 30248064 is about 311.5773369517.

The spelling of 30248064 in words is "thirty million, two hundred forty-eight thousand, sixty-four".