30985200 has 240 divisors, whose sum is σ = 116857600. Its totient is φ = 7776000.

The previous prime is 30985189. The next prime is 30985211. The reversal of 30985200 is 258903.

It is an interprime number because it is at equal distance from previous prime (30985189) and next prime (30985211).

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205125 + ... + 205275.

Almost surely, 2^30985200 is an apocalyptic number.

30985200 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 30985200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58428800).

30985200 is an abundant number, since it is smaller than the sum of its proper divisors (85872400).

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

30985200 is a wasteful number, since it uses less digits than its factorization.

30985200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 30985200 is about 5566.4351249251. The cubic root of 30985200 is about 314.0880654172.

The spelling of 30985200 in words is "thirty million, nine hundred eighty-five thousand, two hundred".