1961316000 has 576 divisors, whose sum is σ = 8185072896. Its totient is φ = 435456000.

The previous prime is 1961315971. The next prime is 1961316011. The reversal of 1961316000 is 6131691.

1961316000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10835910 + ... + 10836090.

It is an arithmetic number, because the mean of its divisors is an integer number (14210196).

Almost surely, 2^1961316000 is an apocalyptic number.

1961316000 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 1961316000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4092536448).

1961316000 is an abundant number, since it is smaller than the sum of its proper divisors (6223756896).

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

1961316000 is a wasteful number, since it uses less digits than its factorization.

1961316000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 1961316000 is about 44286.7474533861. The cubic root of 1961316000 is about 1251.7449762461.

Adding to 1961316000 its reverse (6131691), we get a palindrome (1967447691).

The spelling of 1961316000 in words is "one billion, nine hundred sixty-one million, three hundred sixteen thousand".