4386816 has 156 divisors (see below), whose sum is σ = 15333552. Its totient is φ = 1179648.

The previous prime is 4386803. The next prime is 4386821. The reversal of 4386816 is 6186834.

It is a happy number.

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

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

Its product of digits (27648) is a multiple of the sum of its prime factors (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 258040 + ... + 258056.

It is an arithmetic number, because the mean of its divisors is an integer number (98292).

Almost surely, 2^4386816 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 4386816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7666776).

4386816 is an abundant number, since it is smaller than the sum of its proper divisors (10946736).

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

4386816 is a wasteful number, since it uses less digits than its factorization.

4386816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 29 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 4386816 is about 2094.4727260101. The cubic root of 4386816 is about 163.7004247494.

The spelling of 4386816 in words is "four million, three hundred eighty-six thousand, eight hundred sixteen".