9000964 has 24 divisors (see below), whose sum is σ = 18182528. Its totient is φ = 3818880.

The previous prime is 9000961. The next prime is 9000983. The reversal of 9000964 is 4690009.

9000964 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (9000961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1324 + ... + 4444.

Almost surely, 2^9000964 is an apocalyptic number.

It is an amenable number.

9000964 is an abundant number, since it is smaller than the sum of its proper divisors (9181564).

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

9000964 is a wasteful number, since it uses less digits than its factorization.

9000964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3235 (or 3233 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 9000964 is about 3000.1606623646. The cubic root of 9000964 is about 208.0158087097.

The spelling of 9000964 in words is "nine million, nine hundred sixty-four", and thus it is an aban number.