961716000 has 288 divisors, whose sum is σ = 3634630272. Its totient is φ = 217766400.

The previous prime is 961715977. The next prime is 961716011. The reversal of 961716000 is 617169.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8987947 + ... + 8988053.

It is an arithmetic number, because the mean of its divisors is an integer number (12620244).

Almost surely, 2^961716000 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 961716000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1817315136).

961716000 is an abundant number, since it is smaller than the sum of its proper divisors (2672914272).

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

961716000 is a wasteful number, since it uses less digits than its factorization.

961716000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 961716000 is about 31011.5462368454. The cubic root of 961716000 is about 987.0722604047.

The spelling of 961716000 in words is "nine hundred sixty-one million, seven hundred sixteen thousand".