4007120 has 40 divisors (see below), whose sum is σ = 10035816. Its totient is φ = 1479168.

The previous prime is 4007099. The next prime is 4007123. The reversal of 4007120 is 217004.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 824464 + 3182656 = 908^2 + 1784^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 4007095 and 4007104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4007123) 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, 887 + ... + 2966.

Almost surely, 2^4007120 is an apocalyptic number.

4007120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4007120 is an abundant number, since it is smaller than the sum of its proper divisors (6028696).

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

4007120 is a wasteful number, since it uses less digits than its factorization.

4007120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3879 (or 3873 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 4007120 is about 2001.7792086042. The cubic root of 4007120 is about 158.8342351642.

The spelling of 4007120 in words is "four million, seven thousand, one hundred twenty".