1020085200 has 180 divisors, whose sum is σ = 3562004160. Its totient is φ = 270332160.

The previous prime is 1020085169. The next prime is 1020085201. The reversal of 1020085200 is 25800201.

1020085200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020085201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 643609 + ... + 645191.

It is an arithmetic number, because the mean of its divisors is an integer number (19788912).

Almost surely, 2^1020085200 is an apocalyptic number.

1020085200 is a gapful number since it is divisible by the number (10) 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 1020085200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1781002080).

1020085200 is an abundant number, since it is smaller than the sum of its proper divisors (2541918960).

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

1020085200 is a wasteful number, since it uses less digits than its factorization.

1020085200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1786 (or 1772 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1020085200 is about 31938.7726752297. The cubic root of 1020085200 is about 1006.6507363140.

Adding to 1020085200 its reverse (25800201), we get a palindrome (1045885401).

The spelling of 1020085200 in words is "one billion, twenty million, eighty-five thousand, two hundred".