4267120 has 80 divisors (see below), whose sum is σ = 11686752. Its totient is φ = 1428480.

The previous prime is 4267117. The next prime is 4267141. The reversal of 4267120 is 217624.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 4267091 and 4267100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11254 + ... + 11626.

Almost surely, 2^4267120 is an apocalyptic number.

4267120 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 4267120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5843376).

4267120 is an abundant number, since it is smaller than the sum of its proper divisors (7419632).

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

4267120 is a wasteful number, since it uses less digits than its factorization.

4267120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 4267120 is about 2065.7008495908. The cubic root of 4267120 is about 162.1977973137.

The spelling of 4267120 in words is "four million, two hundred sixty-seven thousand, one hundred twenty".