30701664 has 144 divisors (see below), whose sum is σ = 101451168. Its totient is φ = 8626176.

The previous prime is 30701659. The next prime is 30701689. The reversal of 30701664 is 46610703.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 195474 + ... + 195630.

It is an arithmetic number, because the mean of its divisors is an integer number (704522).

Almost surely, 2^30701664 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 30701664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50725584).

30701664 is an abundant number, since it is smaller than the sum of its proper divisors (70749504).

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

30701664 is a wasteful number, since it uses less digits than its factorization.

30701664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 30701664 is about 5540.9082288015. The cubic root of 30701664 is about 313.1270872487.

The spelling of 30701664 in words is "thirty million, seven hundred one thousand, six hundred sixty-four".