9648000 has 192 divisors, whose sum is σ = 35165520. Its totient is φ = 2534400.

The previous prime is 9647987. The next prime is 9648011. The reversal of 9648000 is 8469.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143967 + ... + 144033.

Almost surely, 2^9648000 is an apocalyptic number.

9648000 is a gapful number since it is divisible by the number (90) 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 9648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17582760).

9648000 is an abundant number, since it is smaller than the sum of its proper divisors (25517520).

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

9648000 is a wasteful number, since it uses less digits than its factorization.

9648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 77 counting only the distinct ones).

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

The square root of 9648000 is about 3106.1229853307. The cubic root of 9648000 is about 212.8853446282.

It can be divided in two parts, 9 and 648000, that multiplied together give a cube (5832000 = 180³).

The spelling of 9648000 in words is "nine million, six hundred forty-eight thousand".