8956320 has 96 divisors (see below), whose sum is σ = 28885248. Its totient is φ = 2331648.

The previous prime is 8956307. The next prime is 8956333. The reversal of 8956320 is 236598.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8956307) and next prime (8956333).

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22362 + ... + 22758.

It is an arithmetic number, because the mean of its divisors is an integer number (300888).

Almost surely, 2^8956320 is an apocalyptic number.

8956320 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 8956320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14442624).

8956320 is an abundant number, since it is smaller than the sum of its proper divisors (19928928).

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

8956320 is a wasteful number, since it uses less digits than its factorization.

8956320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 8956320 is about 2992.7111454332. The cubic root of 8956320 is about 207.6713250935.

The spelling of 8956320 in words is "eight million, nine hundred fifty-six thousand, three hundred twenty".