8956416 has 160 divisors (see below), whose sum is σ = 29462400. Its totient is φ = 2408448.

The previous prime is 8956411. The next prime is 8956457. The reversal of 8956416 is 6146598.

It is a zygodrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (8956411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 526840 + ... + 526856.

It is an arithmetic number, because the mean of its divisors is an integer number (184140).

Almost surely, 2^8956416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8956416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14731200).

8956416 is an abundant number, since it is smaller than the sum of its proper divisors (20505984).

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

8956416 is an equidigital number, since it uses as much as digits as its factorization.

8956416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 29 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 8956416 is about 2992.7271843588. The cubic root of 8956416 is about 207.6720670789.

The spelling of 8956416 in words is "eight million, nine hundred fifty-six thousand, four hundred sixteen".