4047120 has 240 divisors, whose sum is σ = 17177472. Its totient is φ = 829440.

The previous prime is 4047101. The next prime is 4047157. The reversal of 4047120 is 217404.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 4047093 and 4047102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55404 + ... + 55476.

Almost surely, 2^4047120 is an apocalyptic number.

4047120 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 4047120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8588736).

4047120 is an abundant number, since it is smaller than the sum of its proper divisors (13130352).

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

4047120 is a wasteful number, since it uses less digits than its factorization.

4047120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 4047120 is about 2011.7455107443. The cubic root of 4047120 is about 159.3609930020.

The spelling of 4047120 in words is "four million, forty-seven thousand, one hundred twenty".