961669584 has 60 divisors (see below), whose sum is σ = 2791029696. Its totient is φ = 320555232.

The previous prime is 961669571. The next prime is 961669589. The reversal of 961669584 is 485966169.

It is a happy number.

961669584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 961669584.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961669589) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119784 + ... + 127559.

Almost surely, 2^961669584 is an apocalyptic number.

It is an amenable number.

961669584 is an abundant number, since it is smaller than the sum of its proper divisors (1829360112).

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

961669584 is a wasteful number, since it uses less digits than its factorization.

961669584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247366 (or 247348 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The square root of 961669584 is about 31010.7978613902. The cubic root of 961669584 is about 987.0563802200.

The spelling of 961669584 in words is "nine hundred sixty-one million, six hundred sixty-nine thousand, five hundred eighty-four".