961217712 has 320 divisors, whose sum is σ = 3472000000. Its totient is φ = 252999936.

The previous prime is 961217681. The next prime is 961217729. The reversal of 961217712 is 217712169.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1926039 + ... + 1926537.

It is an arithmetic number, because the mean of its divisors is an integer number (10850000).

Almost surely, 2^961217712 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 961217712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736000000).

961217712 is an abundant number, since it is smaller than the sum of its proper divisors (2510782288).

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

961217712 is a wasteful number, since it uses less digits than its factorization.

961217712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 524 counting only the distinct ones).

The product of its digits is 10584, while the sum is 36.

The square root of 961217712 is about 31003.5112850142. The cubic root of 961217712 is about 986.9017557260.

The spelling of 961217712 in words is "nine hundred sixty-one million, two hundred seventeen thousand, seven hundred twelve".