30785664 has 128 divisors (see below), whose sum is σ = 100759680. Its totient is φ = 8110080.

The previous prime is 30785627. The next prime is 30785683. The reversal of 30785664 is 46658703.

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

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 34504 + ... + 35384.

It is an arithmetic number, because the mean of its divisors is an integer number (787185).

Almost surely, 2^30785664 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 30785664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50379840).

30785664 is an abundant number, since it is smaller than the sum of its proper divisors (69974016).

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

30785664 is a wasteful number, since it uses less digits than its factorization.

30785664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 30785664 is about 5548.4830359297. The cubic root of 30785664 is about 313.4123999450.

The spelling of 30785664 in words is "thirty million, seven hundred eighty-five thousand, six hundred sixty-four".