9396000 has 240 divisors, whose sum is σ = 35675640. Its totient is φ = 2419200.

The previous prime is 9395987. The next prime is 9396001. The reversal of 9396000 is 6939.

9396000 = 61³ + 62³ + ... + 84³.

9396000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2862864 + 6533136 = 1692^2 + 2556^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an Ulam number.

It is a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (9396001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 323986 + ... + 324014.

Almost surely, 2^9396000 is an apocalyptic number.

9396000 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 9396000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17837820).

9396000 is an abundant number, since it is smaller than the sum of its proper divisors (26279640).

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

9396000 is a wasteful number, since it uses less digits than its factorization.

9396000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 9396000 is about 3065.2895458668. The cubic root of 9396000 is about 211.0154896799.

The spelling of 9396000 in words is "nine million, three hundred ninety-six thousand".