30989200 has 60 divisors (see below), whose sum is σ = 81231408. Its totient is φ = 11267200.

The previous prime is 30989183. The next prime is 30989201. The reversal of 30989200 is 298903.

It is a happy number.

It is a super-3 number, since 3×30989200³ (a number of 23 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (30989201) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 879 + ... + 7921.

Almost surely, 2^30989200 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 30989200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40615704).

30989200 is an abundant number, since it is smaller than the sum of its proper divisors (50242208).

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

30989200 is a wasteful number, since it uses less digits than its factorization.

30989200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7072 (or 7061 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 30989200 is about 5566.7944097119. The cubic root of 30989200 is about 314.1015804524.

The spelling of 30989200 in words is "thirty million, nine hundred eighty-nine thousand, two hundred".