8956800 has 144 divisors (see below), whose sum is σ = 32062680. Its totient is φ = 2380800.

The previous prime is 8956789. The next prime is 8956817. The reversal of 8956800 is 86598.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28645 + ... + 28955.

Almost surely, 2^8956800 is an apocalyptic number.

8956800 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 8956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16031340).

8956800 is an abundant number, since it is smaller than the sum of its proper divisors (23105880).

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

8956800 is a wasteful number, since it uses less digits than its factorization.

8956800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 8956800 is about 2992.7913392016. The cubic root of 8956800 is about 207.6750349675.

The spelling of 8956800 in words is "eight million, nine hundred fifty-six thousand, eight hundred".