30512768 has 64 divisors (see below), whose sum is σ = 71457120. Its totient is φ = 12794880.

The previous prime is 30512767. The next prime is 30512791. The reversal of 30512768 is 86721503.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×30512768² = 1862058022043648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (30512761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17471 + ... + 19137.

Almost surely, 2^30512768 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 30512768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35728560).

30512768 is an abundant number, since it is smaller than the sum of its proper divisors (40944352).

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

30512768 is a wasteful number, since it uses less digits than its factorization.

30512768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1705 (or 1693 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 30512768 is about 5523.8363480465. The cubic root of 30512768 is about 312.4835805773.

The spelling of 30512768 in words is "thirty million, five hundred twelve thousand, seven hundred sixty-eight".