8964000 has 192 divisors, whose sum is σ = 33022080. Its totient is φ = 2361600.

The previous prime is 8963993. The next prime is 8964013. The reversal of 8964000 is 4698.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107959 + ... + 108041.

It is an arithmetic number, because the mean of its divisors is an integer number (171990).

Almost surely, 2^8964000 is an apocalyptic number.

8964000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8964000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16511040).

8964000 is an abundant number, since it is smaller than the sum of its proper divisors (24058080).

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

8964000 is a wasteful number, since it uses less digits than its factorization.

8964000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 8964000 is about 2993.9939879699. The cubic root of 8964000 is about 207.7306671788.

Adding to 8964000 its reverse (4698), we get a palindrome (8968698).

The spelling of 8964000 in words is "eight million, nine hundred sixty-four thousand".