1020895120 has 160 divisors (see below), whose sum is σ = 2883744000. Its totient is φ = 328624128.

The previous prime is 1020895111. The next prime is 1020895123. The reversal of 1020895120 is 215980201.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (1020895123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 600031 + ... + 601729.

It is an arithmetic number, because the mean of its divisors is an integer number (18023400).

Almost surely, 2^1020895120 is an apocalyptic number.

1020895120 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 1020895120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441872000).

1020895120 is an abundant number, since it is smaller than the sum of its proper divisors (1862848880).

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

1020895120 is a wasteful number, since it uses less digits than its factorization.

1020895120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785 (or 1779 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 1020895120 is about 31951.4494193925. The cubic root of 1020895120 is about 1006.9170836356.

The spelling of 1020895120 in words is "one billion, twenty million, eight hundred ninety-five thousand, one hundred twenty".