961010784 has 96 divisors (see below), whose sum is σ = 2868243840. Its totient is φ = 312875136.

The previous prime is 961010783. The next prime is 961010801. The reversal of 961010784 is 487010169.

961010784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961010783) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24219 + ... + 50085.

It is an arithmetic number, because the mean of its divisors is an integer number (29877540).

Almost surely, 2^961010784 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 961010784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434121920).

961010784 is an abundant number, since it is smaller than the sum of its proper divisors (1907233056).

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

961010784 is a wasteful number, since it uses less digits than its factorization.

961010784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25929 (or 25915 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 961010784 is about 31000.1739349959. The cubic root of 961010784 is about 986.8309315828.

The spelling of 961010784 in words is "nine hundred sixty-one million, ten thousand, seven hundred eighty-four".