30936768 has 56 divisors (see below), whose sum is σ = 83271360. Its totient is φ = 10133760.

The previous prime is 30936767. The next prime is 30936779. The reversal of 30936768 is 86763903.

It is a super-2 number, since 2×30936768² = 1914167228571648, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (30936767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9963 + ... + 12693.

Almost surely, 2^30936768 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 30936768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41635680).

30936768 is an abundant number, since it is smaller than the sum of its proper divisors (52334592).

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

30936768 is a wasteful number, since it uses less digits than its factorization.

30936768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2805 (or 2795 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 30936768 is about 5562.0830630259. The cubic root of 30936768 is about 313.9243329919.

The spelling of 30936768 in words is "thirty million, nine hundred thirty-six thousand, seven hundred sixty-eight".