30133680 has 160 divisors (see below), whose sum is σ = 100279296. Its totient is φ = 7468032.

The previous prime is 30133679. The next prime is 30133687. The reversal of 30133680 is 8633103.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 30133680.

It is not an unprimeable number, because it can be changed into a prime (30133687) 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, 292509 + ... + 292611.

Almost surely, 2^30133680 is an apocalyptic number.

30133680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30133680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50139648).

30133680 is an abundant number, since it is smaller than the sum of its proper divisors (70145616).

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

30133680 is a wasteful number, since it uses less digits than its factorization.

30133680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 30133680 is about 5489.4152694071. The cubic root of 30133680 is about 311.1840943666.

Adding to 30133680 its reverse (8633103), we get a palindrome (38766783).

The spelling of 30133680 in words is "thirty million, one hundred thirty-three thousand, six hundred eighty".