961485000 has 160 divisors (see below), whose sum is σ = 3433151040. Its totient is φ = 219744000.

The previous prime is 961484999. The next prime is 961485061. The reversal of 961485000 is 584169.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 100422 + ... + 109578.

It is an arithmetic number, because the mean of its divisors is an integer number (21457194).

Almost surely, 2^961485000 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 961485000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716575520).

961485000 is an abundant number, since it is smaller than the sum of its proper divisors (2471666040).

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

961485000 is a wasteful number, since it uses less digits than its factorization.

961485000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9193 (or 9174 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 961485000 is about 31007.8215939140. The cubic root of 961485000 is about 986.9932239218.

The spelling of 961485000 in words is "nine hundred sixty-one million, four hundred eighty-five thousand".