9064000 has 112 divisors (see below), whose sum is σ = 24725376. Its totient is φ = 3264000.

The previous prime is 9063991. The next prime is 9064019. The reversal of 9064000 is 4609.

9064000 = 508² + 509² + ... + 540².

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87949 + ... + 88051.

Almost surely, 2^9064000 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 9064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12362688).

9064000 is an abundant number, since it is smaller than the sum of its proper divisors (15661376).

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

9064000 is a wasteful number, since it uses less digits than its factorization.

9064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 9064000 is about 3010.6477708294. The cubic root of 9064000 is about 208.5002750793.

Adding to 9064000 its reverse (4609), we get a palindrome (9068609).

It can be divided in two parts, 90 and 64000, that multiplied together give a square (5760000 = 2400²).

The spelling of 9064000 in words is "nine million, sixty-four thousand".