961369056 has 72 divisors (see below), whose sum is σ = 2746336320. Its totient is φ = 318998016.

The previous prime is 961369051. The next prime is 961369061. The reversal of 961369056 is 650963169.

961369056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (961369051) and next prime (961369061).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×961369056² = 1848460923668662272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961369051) 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, 56740 + ... + 71708.

It is an arithmetic number, because the mean of its divisors is an integer number (38143560).

Almost surely, 2^961369056 is an apocalyptic number.

961369056 is a gapful number since it is divisible by the number (96) 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 961369056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373168160).

961369056 is an abundant number, since it is smaller than the sum of its proper divisors (1784967264).

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

961369056 is a wasteful number, since it uses less digits than its factorization.

961369056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15208 (or 15197 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 961369056 is about 31005.9519447476. The cubic root of 961369056 is about 986.9535489945.

The spelling of 961369056 in words is "nine hundred sixty-one million, three hundred sixty-nine thousand, fifty-six".