961912320 has 160 divisors (see below), whose sum is σ = 3093552000. Its totient is φ = 254976000.

The previous prime is 961912291. The next prime is 961912327. The reversal of 961912320 is 23219169.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×961912320² = 1850550622735564800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961912327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1927431 + ... + 1927929.

It is an arithmetic number, because the mean of its divisors is an integer number (19334700).

Almost surely, 2^961912320 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 961912320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546776000).

961912320 is an abundant number, since it is smaller than the sum of its proper divisors (2131639680).

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

961912320 is a wasteful number, since it uses less digits than its factorization.

961912320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 961912320 is about 31014.7113480039. The cubic root of 961912320 is about 987.1394212026.

The spelling of 961912320 in words is "nine hundred sixty-one million, nine hundred twelve thousand, three hundred twenty".