9536400 has 120 divisors (see below), whose sum is σ = 33980960. Its totient is φ = 2540160.

The previous prime is 9536399. The next prime is 9536413. The reversal of 9536400 is 46359.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 10359 + ... + 11241.

Almost surely, 2^9536400 is an apocalyptic number.

9536400 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 9536400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16990480).

9536400 is an abundant number, since it is smaller than the sum of its proper divisors (24444560).

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

9536400 is a wasteful number, since it uses less digits than its factorization.

9536400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 9536400 is about 3088.1062157899. The cubic root of 9536400 is about 212.0613326757.

The spelling of 9536400 in words is "nine million, five hundred thirty-six thousand, four hundred".