960820000 has 120 divisors (see below), whose sum is σ = 2701835136. Its totient is φ = 329376000.

The previous prime is 960819997. The next prime is 960820001. The reversal of 960820000 is 28069.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (960820001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 136569 + ... + 143431.

Almost surely, 2^960820000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 960820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350917568).

960820000 is an abundant number, since it is smaller than the sum of its proper divisors (1741015136).

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

960820000 is an equidigital number, since it uses as much as digits as its factorization.

960820000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6900 (or 6877 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 960820000 is about 30997.0966382337. The cubic root of 960820000 is about 986.7656239519.

Adding to 960820000 its reverse (28069), we get a palindrome (960848069).

The spelling of 960820000 in words is "nine hundred sixty million, eight hundred twenty thousand".