4107840 has 112 divisors (see below), whose sum is σ = 14264640. Its totient is φ = 993280.

The previous prime is 4107839. The next prime is 4107877. The reversal of 4107840 is 487014.

4107840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4107840.

It is an unprimeable number.

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, 10366 + ... + 10754.

Almost surely, 2^4107840 is an apocalyptic number.

4107840 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 4107840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7132320).

4107840 is an abundant number, since it is smaller than the sum of its proper divisors (10156800).

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

4107840 is a wasteful number, since it uses less digits than its factorization.

4107840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 4107840 is about 2026.7806985463. The cubic root of 4107840 is about 160.1540183588.

The spelling of 4107840 in words is "four million, one hundred seven thousand, eight hundred forty".