9640512 has 112 divisors (see below), whose sum is σ = 32430720. Its totient is φ = 2750976.

The previous prime is 9640507. The next prime is 9640517. The reversal of 9640512 is 2150469.

9640512 is a `hidden beast` number, since 9 + 640 + 5 + 12 = 666.

9640512 is nontrivially palindromic in base 15.

It is an interprime number because it is at equal distance from previous prime (9640507) and next prime (9640517).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (9640517) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11698 + ... + 12494.

It is an arithmetic number, because the mean of its divisors is an integer number (289560).

Almost surely, 2^9640512 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 9640512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16215360).

9640512 is an abundant number, since it is smaller than the sum of its proper divisors (22790208).

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

9640512 is a wasteful number, since it uses less digits than its factorization.

9640512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 9640512 is about 3104.9173902054. The cubic root of 9640512 is about 212.8302555583.

The spelling of 9640512 in words is "nine million, six hundred forty thousand, five hundred twelve".