964168128 has 168 divisors, whose sum is σ = 3445703040. Its totient is φ = 250421760.

The previous prime is 964168099. The next prime is 964168151. The reversal of 964168128 is 821861469.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33483 + ... + 55221.

Almost surely, 2^964168128 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 964168128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1722851520).

964168128 is an abundant number, since it is smaller than the sum of its proper divisors (2481534912).

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

964168128 is a wasteful number, since it uses less digits than its factorization.

964168128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21775 (or 21762 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 964168128 is about 31051.0567936101. The cubic root of 964168128 is about 987.9104750409.

The spelling of 964168128 in words is "nine hundred sixty-four million, one hundred sixty-eight thousand, one hundred twenty-eight".