8536320 has 288 divisors, whose sum is σ = 34339200. Its totient is φ = 1990656.

The previous prime is 8536313. The next prime is 8536321. The reversal of 8536320 is 236358.

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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8536321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 449271 + ... + 449289.

Almost surely, 2^8536320 is an apocalyptic number.

8536320 is a gapful number since it is divisible by the number (80) 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 8536320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17169600).

8536320 is an abundant number, since it is smaller than the sum of its proper divisors (25802880).

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

8536320 is a wasteful number, since it uses less digits than its factorization.

8536320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 8536320 is about 2921.6981363584. The cubic root of 8536320 is about 204.3730199286.

The spelling of 8536320 in words is "eight million, five hundred thirty-six thousand, three hundred twenty".