30966672 has 80 divisors (see below), whose sum is σ = 87994368. Its totient is φ = 9306240.

The previous prime is 30966653. The next prime is 30966679. The reversal of 30966672 is 27666903.

It is a self number, because there is not a number n which added to its sum of digits gives 30966672.

It is not an unprimeable number, because it can be changed into a prime (30966679) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117613 + ... + 117875.

Almost surely, 2^30966672 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 30966672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43997184).

30966672 is an abundant number, since it is smaller than the sum of its proper divisors (57027696).

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

30966672 is a wasteful number, since it uses less digits than its factorization.

30966672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 39.

The square root of 30966672 is about 5564.7706152186. The cubic root of 30966672 is about 314.0254485980.

The spelling of 30966672 in words is "thirty million, nine hundred sixty-six thousand, six hundred seventy-two".