30148768 has 72 divisors (see below), whose sum is σ = 67308948. Its totient is φ = 13212672.

The previous prime is 30148759. The next prime is 30148787. The reversal of 30148768 is 86784103.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 29463184 + 685584 = 5428^2 + 828^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 219996 + ... + 220132.

Almost surely, 2^30148768 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 30148768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33654474).

30148768 is an abundant number, since it is smaller than the sum of its proper divisors (37160180).

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

30148768 is a wasteful number, since it uses less digits than its factorization.

30148768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 30148768 is about 5490.7893785867. The cubic root of 30148768 is about 311.2360225547.

The spelling of 30148768 in words is "thirty million, one hundred forty-eight thousand, seven hundred sixty-eight".