9465600 has 216 divisors, whose sum is σ = 34216560. Its totient is φ = 2293760.

The previous prime is 9465593. The next prime is 9465601. The reversal of 9465600 is 65649.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9465601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 326386 + ... + 326414.

It is an arithmetic number, because the mean of its divisors is an integer number (158410).

Almost surely, 2^9465600 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 9465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17108280).

9465600 is an abundant number, since it is smaller than the sum of its proper divisors (24750960).

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

9465600 is a wasteful number, since it uses less digits than its factorization.

9465600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 9465600 is about 3076.6215236847. The cubic root of 9465600 is about 211.5352343648.

The spelling of 9465600 in words is "nine million, four hundred sixty-five thousand, six hundred".