4108320 has 120 divisors (see below), whose sum is σ = 14544684. Its totient is φ = 1092096.

The previous prime is 4108309. The next prime is 4108331. The reversal of 4108320 is 238014.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4108309) and next prime (4108331).

It can be written as a sum of positive squares in 2 ways, for example, as 3640464 + 467856 = 1908^2 + 684^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4108293 and 4108302.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12802 + ... + 13118.

Almost surely, 2^4108320 is an apocalyptic number.

4108320 is a gapful number since it is divisible by the number (40) 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 4108320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7272342).

4108320 is an abundant number, since it is smaller than the sum of its proper divisors (10436364).

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

4108320 is a wasteful number, since it uses less digits than its factorization.

4108320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4108320 is about 2026.8991094773. The cubic root of 4108320 is about 160.1602561005.

The spelling of 4108320 in words is "four million, one hundred eight thousand, three hundred twenty".