961945000 has 80 divisors (see below), whose sum is σ = 2386626660. Its totient is φ = 362112000.

The previous prime is 961944979. The next prime is 961945013. The reversal of 961945000 is 549169.

961945000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 28153636 + 933791364 = 5306^2 + 30558^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 79342 + ... + 90658.

Almost surely, 2^961945000 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 961945000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193313330).

961945000 is an abundant number, since it is smaller than the sum of its proper divisors (1424681660).

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

961945000 is a wasteful number, since it uses less digits than its factorization.

961945000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11360 (or 11341 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 34.

The square root of 961945000 is about 31015.2381902832. The cubic root of 961945000 is about 987.1506000978.

The spelling of 961945000 in words is "nine hundred sixty-one million, nine hundred forty-five thousand".