961747416 has 144 divisors (see below), whose sum is σ = 3084385200. Its totient is φ = 265192704.

The previous prime is 961747403. The next prime is 961747421. The reversal of 961747416 is 614747169.

961747416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 422730 + ... + 424998.

Almost surely, 2^961747416 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 961747416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542192600).

961747416 is an abundant number, since it is smaller than the sum of its proper divisors (2122637784).

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

961747416 is a wasteful number, since it uses less digits than its factorization.

961747416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2346 (or 2310 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 961747416 is about 31012.0527537279. The cubic root of 961747416 is about 987.0830083887.

The spelling of 961747416 in words is "nine hundred sixty-one million, seven hundred forty-seven thousand, four hundred sixteen".