4075920 has 200 divisors, whose sum is σ = 15394104. Its totient is φ = 995328.

The previous prime is 4075919. The next prime is 4075931. The reversal of 4075920 is 295704.

4075920 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in 4 ways, for example, as 1679616 + 2396304 = 1296^2 + 1548^2 .

It is a super-2 number, since 2×4075920² = 33226247692800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 110142 + ... + 110178.

Almost surely, 2^4075920 is an apocalyptic number.

4075920 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 4075920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7697052).

4075920 is an abundant number, since it is smaller than the sum of its proper divisors (11318184).

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

4075920 is a wasteful number, since it uses less digits than its factorization.

4075920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 4075920 is about 2018.8907845646. The cubic root of 4075920 is about 159.7381132463.

The spelling of 4075920 in words is "four million, seventy-five thousand, nine hundred twenty".