4155120 has 120 divisors (see below), whose sum is σ = 14508000. Its totient is φ = 1064448.

The previous prime is 4155119. The next prime is 4155121. The reversal of 4155120 is 215514.

It is an interprime number because it is at equal distance from previous prime (4155119) and next prime (4155121).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 4155093 and 4155102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4155121) 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, 20781 + ... + 20979.

It is an arithmetic number, because the mean of its divisors is an integer number (120900).

Almost surely, 2^4155120 is an apocalyptic number.

4155120 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 4155120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7254000).

4155120 is an abundant number, since it is smaller than the sum of its proper divisors (10352880).

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

4155120 is a wasteful number, since it uses less digits than its factorization.

4155120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 4155120 is about 2038.4111459664. The cubic root of 4155120 is about 160.7661174619.

The spelling of 4155120 in words is "four million, one hundred fifty-five thousand, one hundred twenty".