960512742 has 160 divisors (see below), whose sum is σ = 2575964160. Its totient is φ = 261740160.

The previous prime is 960512717. The next prime is 960512759. The reversal of 960512742 is 247215069.

960512742 is a `hidden beast` number, since 9 + 605 + 1 + 2 + 7 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 960512697 and 960512706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3128553 + ... + 3128859.

It is an arithmetic number, because the mean of its divisors is an integer number (16099776).

Almost surely, 2^960512742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 960512742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287982080).

960512742 is an abundant number, since it is smaller than the sum of its proper divisors (1615451418).

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

960512742 is a wasteful number, since it uses less digits than its factorization.

960512742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 960512742 is about 30992.1400035557. The cubic root of 960512742 is about 986.6604277109.

The spelling of 960512742 in words is "nine hundred sixty million, five hundred twelve thousand, seven hundred forty-two".