30819712 has 128 divisors (see below), whose sum is σ = 79315200. Its totient is φ = 11581440.

The previous prime is 30819709. The next prime is 30819749. The reversal of 30819712 is 21791803.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 522339 + ... + 522397.

It is an arithmetic number, because the mean of its divisors is an integer number (619650).

Almost surely, 2^30819712 is an apocalyptic number.

30819712 is a gapful number since it is divisible by the number (32) 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 30819712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39657600).

30819712 is an abundant number, since it is smaller than the sum of its proper divisors (48495488).

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

30819712 is a wasteful number, since it uses less digits than its factorization.

30819712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 30819712 is about 5551.5504140735. The cubic root of 30819712 is about 313.5278988761.

It can be divided in two parts, 308 and 19712, that multiplied together give a square (6071296 = 2464²).

The spelling of 30819712 in words is "thirty million, eight hundred nineteen thousand, seven hundred twelve".