30865200 has 180 divisors, whose sum is σ = 106209720. Its totient is φ = 7659520.

The previous prime is 30865189. The next prime is 30865223. The reversal of 30865200 is 256803.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 346756 + ... + 346844.

It is an arithmetic number, because the mean of its divisors is an integer number (590054).

Almost surely, 2^30865200 is an apocalyptic number.

30865200 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 30865200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53104860).

30865200 is an abundant number, since it is smaller than the sum of its proper divisors (75344520).

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

30865200 is a wasteful number, since it uses less digits than its factorization.

30865200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 30865200 is about 5555.6457770452. The cubic root of 30865200 is about 313.6820723514.

The spelling of 30865200 in words is "thirty million, eight hundred sixty-five thousand, two hundred".