4135320 has 128 divisors (see below), whose sum is σ = 15782400. Its totient is φ = 943488.

The previous prime is 4135303. The next prime is 4135343. The reversal of 4135320 is 235314.

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 4135293 and 4135302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7287 + ... + 7833.

It is an arithmetic number, because the mean of its divisors is an integer number (123300).

Almost surely, 2^4135320 is an apocalyptic number.

4135320 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 4135320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7891200).

4135320 is an abundant number, since it is smaller than the sum of its proper divisors (11647080).

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

4135320 is a wasteful number, since it uses less digits than its factorization.

4135320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 4135320 is about 2033.5486224824. The cubic root of 4135320 is about 160.5103495815.

The spelling of 4135320 in words is "four million, one hundred thirty-five thousand, three hundred twenty".