9664512 has 144 divisors (see below), whose sum is σ = 30499560. Its totient is φ = 2703360.

The previous prime is 9664477. The next prime is 9664519. The reversal of 9664512 is 2154669.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

Its product of digits (12960) is a multiple of the sum of its prime factors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9664519) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 743418 + ... + 743430.

Almost surely, 2^9664512 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 9664512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15249780).

9664512 is an abundant number, since it is smaller than the sum of its proper divisors (20835048).

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

9664512 is a wasteful number, since it uses less digits than its factorization.

9664512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 29 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 9664512 is about 3108.7798249474. The cubic root of 9664512 is about 213.0067224399.

The spelling of 9664512 in words is "nine million, six hundred sixty-four thousand, five hundred twelve".