960434881560 has 1152 divisors, whose sum is σ = 4162440522240. Its totient is φ = 194857850880.

The previous prime is 960434881559. The next prime is 960434881561. The reversal of 960434881560 is 65188434069.

960434881560 is a `hidden beast` number, since 9 + 6 + 0 + 4 + 3 + 488 + 156 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (960434881559) and next prime (960434881561).

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 = 960434881497 and 960434881506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (960434881561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 354010764 + ... + 354013476.

It is an arithmetic number, because the mean of its divisors is an integer number (3613229620).

Almost surely, 2^960434881560 is an apocalyptic number.

960434881560 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 960434881560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2081220261120).

960434881560 is an abundant number, since it is smaller than the sum of its proper divisors (3202005640680).

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

960434881560 is a wasteful number, since it uses less digits than its factorization.

960434881560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2811 (or 2784 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 960434881560 in words is "nine hundred sixty billion, four hundred thirty-four million, eight hundred eighty-one thousand, five hundred sixty".