965063808 has 384 divisors, whose sum is σ = 3207859200. Its totient is φ = 287400960.

The previous prime is 965063777. The next prime is 965063819. The reversal of 965063808 is 808360569.

965063808 is a `hidden beast` number, since 9 + 6 + 5 + 0 + 638 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×965063808² = 1862696307022921728, which contains 22 as substring.

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, 13592413 + ... + 13592483.

It is an arithmetic number, because the mean of its divisors is an integer number (8353800).

Almost surely, 2^965063808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 965063808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603929600).

965063808 is an abundant number, since it is smaller than the sum of its proper divisors (2242795392).

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

965063808 is a wasteful number, since it uses less digits than its factorization.

965063808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 965063808 is about 31065.4761431400. The cubic root of 965063808 is about 988.2162923117.

The spelling of 965063808 in words is "nine hundred sixty-five million, sixty-three thousand, eight hundred eight".