4087200 has 144 divisors (see below), whose sum is σ = 14436576. Its totient is φ = 998400.

The previous prime is 4087199. The next prime is 4087207. The reversal of 4087200 is 27804.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4087207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31135 + ... + 31265.

It is an arithmetic number, because the mean of its divisors is an integer number (100254).

Almost surely, 2^4087200 is an apocalyptic number.

4087200 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 4087200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7218288).

4087200 is an abundant number, since it is smaller than the sum of its proper divisors (10349376).

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

4087200 is a wasteful number, since it uses less digits than its factorization.

4087200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 4087200 is about 2021.6824676492. The cubic root of 4087200 is about 159.8853345102.

The spelling of 4087200 in words is "four million, eighty-seven thousand, two hundred".