960610959360 has 1056 divisors, whose sum is σ = 3847350255840. Its totient is φ = 228304355328.

The previous prime is 960610959353. The next prime is 960610959367. The reversal of 960610959360 is 63959016069.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (960610959353) and next prime (960610959367).

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

It is a junction number, because it is equal to n+sod(n) for n = 960610959297 and 960610959306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (960610959367) 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 47 ways as a sum of consecutive naturals, for example, 33124515826 + ... + 33124515854.

Almost surely, 2^960610959360 is an apocalyptic number.

960610959360 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 960610959360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1923675127920).

960610959360 is an abundant number, since it is smaller than the sum of its proper divisors (2886739296480).

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

960610959360 is an frugal number, since it uses more digits than its factorization.

960610959360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 2361960, while the sum is 54.

The spelling of 960610959360 in words is "nine hundred sixty billion, six hundred ten million, nine hundred fifty-nine thousand, three hundred sixty".