4027920 has 80 divisors (see below), whose sum is σ = 13457472. Its totient is φ = 990720.

The previous prime is 4027913. The next prime is 4027927. The reversal of 4027920 is 297204.

4027920 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4027913) and next prime (4027927).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (4027927) 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 15 ways as a sum of consecutive naturals, for example, 2475 + ... + 3765.

Almost surely, 2^4027920 is an apocalyptic number.

4027920 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 4027920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6728736).

4027920 is an abundant number, since it is smaller than the sum of its proper divisors (9429552).

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

4027920 is a wasteful number, since it uses less digits than its factorization.

4027920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 4027920 is about 2006.9678622240. The cubic root of 4027920 is about 159.1085845049.

The spelling of 4027920 in words is "four million, twenty-seven thousand, nine hundred twenty".