30876768 has 96 divisors (see below), whose sum is σ = 97020000. Its totient is φ = 9497088.

The previous prime is 30876761. The next prime is 30876773. The reversal of 30876768 is 86767803.

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

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30876761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9858 + ... + 12606.

It is an arithmetic number, because the mean of its divisors is an integer number (1010625).

Almost surely, 2^30876768 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 30876768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48510000).

30876768 is an abundant number, since it is smaller than the sum of its proper divisors (66143232).

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

30876768 is a wasteful number, since it uses less digits than its factorization.

30876768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2781 (or 2767 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 30876768 is about 5556.6867826071. The cubic root of 30876768 is about 313.7212558652.

The spelling of 30876768 in words is "thirty million, eight hundred seventy-six thousand, seven hundred sixty-eight".