968829575 has 48 divisors (see below), whose sum is σ = 1517045760. Its totient is φ = 598033920.

The previous prime is 968829557. The next prime is 968829599. The reversal of 968829575 is 575928869.

It is not a de Polignac number, because 968829575 - 2¹⁰ = 968828551 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61346 + ... + 75504.

It is an arithmetic number, because the mean of its divisors is an integer number (31605120).

Almost surely, 2^968829575 is an apocalyptic number.

968829575 is a deficient number, since it is larger than the sum of its proper divisors (548216185).

968829575 is a wasteful number, since it uses less digits than its factorization.

968829575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14216 (or 14211 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 59.

The square root of 968829575 is about 31126.0272922839. The cubic root of 968829575 is about 989.4999940848.

The spelling of 968829575 in words is "nine hundred sixty-eight million, eight hundred twenty-nine thousand, five hundred seventy-five".