4237920 has 144 divisors (see below), whose sum is σ = 15135120. Its totient is φ = 1119744.

The previous prime is 4237889. The next prime is 4237921. The reversal of 4237920 is 297324.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4237921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38826 + ... + 38934.

It is an arithmetic number, because the mean of its divisors is an integer number (105105).

Almost surely, 2^4237920 is an apocalyptic number.

4237920 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 4237920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7567560).

4237920 is an abundant number, since it is smaller than the sum of its proper divisors (10897200).

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

4237920 is a wasteful number, since it uses less digits than its factorization.

4237920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 4237920 is about 2058.6208975914. The cubic root of 4237920 is about 161.8269757609.

The spelling of 4237920 in words is "four million, two hundred thirty-seven thousand, nine hundred twenty".