9504864 has 120 divisors (see below), whose sum is σ = 29577240. Its totient is φ = 2985984.

The previous prime is 9504863. The next prime is 9504877. The reversal of 9504864 is 4684059.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9504863) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 49152 + ... + 49344.

It is an arithmetic number, because the mean of its divisors is an integer number (246477).

Almost surely, 2^9504864 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 9504864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14788620).

9504864 is an abundant number, since it is smaller than the sum of its proper divisors (20072376).

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

9504864 is a wasteful number, since it uses less digits than its factorization.

9504864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 9504864 is about 3082.9959455050. The cubic root of 9504864 is about 211.8273187402.

The spelling of 9504864 in words is "nine million, five hundred four thousand, eight hundred sixty-four".