4098816 has 72 divisors (see below), whose sum is σ = 12141360. Its totient is φ = 1363968.

The previous prime is 4098797. The next prime is 4098817. The reversal of 4098816 is 6188904.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4098817) 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, 6616 + ... + 7208.

It is an arithmetic number, because the mean of its divisors is an integer number (168630).

Almost surely, 2^4098816 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 4098816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6070680).

4098816 is an abundant number, since it is smaller than the sum of its proper divisors (8042544).

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

4098816 is an equidigital number, since it uses as much as digits as its factorization.

4098816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 4098816 is about 2024.5532840605. The cubic root of 4098816 is about 160.0366582671.

The spelling of 4098816 in words is "four million, ninety-eight thousand, eight hundred sixteen".