4087840 has 48 divisors (see below), whose sum is σ = 10001880. Its totient is φ = 1576960.

The previous prime is 4087829. The next prime is 4087843. The reversal of 4087840 is 487804.

It can be written as a sum of positive squares in 4 ways, for example, as 2676496 + 1411344 = 1636^2 + 1188^2 .

It is not an unprimeable number, because it can be changed into a prime (4087843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4200 + ... + 5080.

Almost surely, 2^4087840 is an apocalyptic number.

4087840 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 4087840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5000940).

4087840 is an abundant number, since it is smaller than the sum of its proper divisors (5914040).

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

4087840 is a wasteful number, since it uses less digits than its factorization.

4087840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 31.

The square root of 4087840 is about 2021.8407454594. The cubic root of 4087840 is about 159.8936793652.

The spelling of 4087840 in words is "four million, eighty-seven thousand, eight hundred forty".