930868200 has 240 divisors, whose sum is σ = 3322560780. Its totient is φ = 241367040.

The previous prime is 930868189. The next prime is 930868241. The reversal of 930868200 is 2868039.

It can be written as a sum of positive squares in 6 ways, for example, as 332478756 + 598389444 = 18234^2 + 24462^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 598624 + ... + 600176.

Almost surely, 2^930868200 is an apocalyptic number.

930868200 is a gapful number since it is divisible by the number (90) 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 930868200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1661280390).

930868200 is an abundant number, since it is smaller than the sum of its proper divisors (2391692580).

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

930868200 is a wasteful number, since it uses less digits than its factorization.

930868200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 930868200 is about 30510.1327430741. The cubic root of 930868200 is about 976.4036587264.

The spelling of 930868200 in words is "nine hundred thirty million, eight hundred sixty-eight thousand, two hundred".