8812416 has 64 divisors (see below), whose sum is σ = 23904720. Its totient is φ = 2875392.

The previous prime is 8812411. The next prime is 8812439. The reversal of 8812416 is 6142188.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8812411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20136 + ... + 20568.

Almost surely, 2^8812416 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 8812416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11952360).

8812416 is an abundant number, since it is smaller than the sum of its proper divisors (15092304).

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

8812416 is a wasteful number, since it uses less digits than its factorization.

8812416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 491 counting only the distinct ones).

The product of its digits is 3072, while the sum is 30.

The square root of 8812416 is about 2968.5713735735. The cubic root of 8812416 is about 206.5530743554.

The spelling of 8812416 in words is "eight million, eight hundred twelve thousand, four hundred sixteen".