4137920 has 56 divisors (see below), whose sum is σ = 10052304. Its totient is φ = 1622016.

The previous prime is 4137901. The next prime is 4137929. The reversal of 4137920 is 297314.

4137920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4137920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4137929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21344 + ... + 21536.

Almost surely, 2^4137920 is an apocalyptic number.

4137920 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 4137920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5026152).

4137920 is an abundant number, since it is smaller than the sum of its proper divisors (5914384).

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

4137920 is a wasteful number, since it uses less digits than its factorization.

4137920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 4137920 is about 2034.1877986066. The cubic root of 4137920 is about 160.5439817614.

Subtracting from 4137920 its reverse (297314), we obtain a triangular number (3840606 = T₂₇₇₁).

The spelling of 4137920 in words is "four million, one hundred thirty-seven thousand, nine hundred twenty".