961291584 has 224 divisors, whose sum is σ = 3119201280. Its totient is φ = 287884800.

The previous prime is 961291577. The next prime is 961291603. The reversal of 961291584 is 485192169.

961291584 is a `hidden beast` number, since 9 + 61 + 2 + 9 + 1 + 584 = 666.

It is a super-3 number, since 3×961291584³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1957579 + ... + 1958069.

Almost surely, 2^961291584 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 961291584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559600640).

961291584 is an abundant number, since it is smaller than the sum of its proper divisors (2157909696).

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

961291584 is a wasteful number, since it uses less digits than its factorization.

961291584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 610 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 961291584 is about 31004.7026110556. The cubic root of 961291584 is about 986.9270370395.

The spelling of 961291584 in words is "nine hundred sixty-one million, two hundred ninety-one thousand, five hundred eighty-four".