9504000 has 288 divisors, whose sum is σ = 38263680. Its totient is φ = 2304000.

The previous prime is 9503993. The next prime is 9504023. The reversal of 9504000 is 4059.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 863995 + ... + 864005.

It is an arithmetic number, because the mean of its divisors is an integer number (132860).

Almost surely, 2^9504000 is an apocalyptic number.

9504000 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 9504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19131840).

9504000 is an abundant number, since it is smaller than the sum of its proper divisors (28759680).

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

9504000 is a wasteful number, since it uses less digits than its factorization.

9504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 9504000 is about 3082.8558188796. The cubic root of 9504000 is about 211.8209001196.

Adding to 9504000 its reverse (4059), we get a palindrome (9508059).

It can be divided in two parts, 950 and 4000, that added together give a triangular number (4950 = T₉₉).

The spelling of 9504000 in words is "nine million, five hundred four thousand".