961442784 has 240 divisors, whose sum is σ = 2958333840. Its totient is φ = 306063360.

The previous prime is 961442707. The next prime is 961442809. The reversal of 961442784 is 487244169.

961442784 is a `hidden beast` number, since 9 + 614 + 4 + 27 + 8 + 4 = 666.

It is a congruent number.

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, 8820522 + ... + 8820630.

It is an arithmetic number, because the mean of its divisors is an integer number (12326391).

Almost surely, 2^961442784 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 961442784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479166920).

961442784 is an abundant number, since it is smaller than the sum of its proper divisors (1996891056).

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

961442784 is a wasteful number, since it uses less digits than its factorization.

961442784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 238 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 961442784 is about 31007.1408549708. The cubic root of 961442784 is about 986.9787783798.

The spelling of 961442784 in words is "nine hundred sixty-one million, four hundred forty-two thousand, seven hundred eighty-four".