961943904 has 96 divisors (see below), whose sum is σ = 2927715840. Its totient is φ = 306700416.

The previous prime is 961943903. The next prime is 961943909. The reversal of 961943904 is 409349169.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×961943904² = 1850672148885522432, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 961943904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961943903) 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, 4332 + ... + 44075.

It is an arithmetic number, because the mean of its divisors is an integer number (30497040).

Almost surely, 2^961943904 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 961943904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463857920).

961943904 is an abundant number, since it is smaller than the sum of its proper divisors (1965771936).

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

961943904 is a wasteful number, since it uses less digits than its factorization.

961943904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48449 (or 48435 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 961943904 is about 31015.2205215439. The cubic root of 961943904 is about 987.1502251916.

The spelling of 961943904 in words is "nine hundred sixty-one million, nine hundred forty-three thousand, nine hundred four".