30967668 has 72 divisors (see below), whose sum is σ = 81830112. Its totient is φ = 9865152.

The previous prime is 30967649. The next prime is 30967709. The reversal of 30967668 is 86676903.

It is a super-2 number, since 2×30967668² = 1917992922716448, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89071 + ... + 89417.

Almost surely, 2^30967668 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 30967668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40915056).

30967668 is an abundant number, since it is smaller than the sum of its proper divisors (50862444).

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

30967668 is a wasteful number, since it uses less digits than its factorization.

30967668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 30967668 is about 5564.8601060584. The cubic root of 30967668 is about 314.0288152928.

The spelling of 30967668 in words is "thirty million, nine hundred sixty-seven thousand, six hundred sixty-eight".