961384320 has 384 divisors, whose sum is σ = 3682355040. Its totient is φ = 229588992.

The previous prime is 961384309. The next prime is 961384343. The reversal of 961384320 is 23483169.

961384320 is a `hidden beast` number, since 9 + 613 + 8 + 4 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2770387 + ... + 2770733.

Almost surely, 2^961384320 is an apocalyptic number.

961384320 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 961384320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1841177520).

961384320 is an abundant number, since it is smaller than the sum of its proper divisors (2720970720).

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

961384320 is a wasteful number, since it uses less digits than its factorization.

961384320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 961384320 is about 31006.1980900593. The cubic root of 961384320 is about 986.9587723715.

The spelling of 961384320 in words is "nine hundred sixty-one million, three hundred eighty-four thousand, three hundred twenty".