30985968 has 160 divisors (see below), whose sum is σ = 95993856. Its totient is φ = 8515584.

The previous prime is 30985963. The next prime is 30985993. The reversal of 30985968 is 86958903.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30985961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243921 + ... + 244047.

Almost surely, 2^30985968 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 30985968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47996928).

30985968 is an abundant number, since it is smaller than the sum of its proper divisors (65007888).

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

30985968 is a wasteful number, since it uses less digits than its factorization.

30985968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The square root of 30985968 is about 5566.5041094030. The cubic root of 30985968 is about 314.0906603942.

The spelling of 30985968 in words is "thirty million, nine hundred eighty-five thousand, nine hundred sixty-eight".