4155760 has 80 divisors (see below), whose sum is σ = 11374272. Its totient is φ = 1382400.

The previous prime is 4155751. The next prime is 4155761. The reversal of 4155760 is 675514.

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 (28).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4155761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22870 + ... + 23050.

Almost surely, 2^4155760 is an apocalyptic number.

4155760 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 4155760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5687136).

4155760 is an abundant number, since it is smaller than the sum of its proper divisors (7218512).

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

4155760 is a wasteful number, since it uses less digits than its factorization.

4155760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 4155760 is about 2038.5681249348. The cubic root of 4155760 is about 160.7743711371.

The spelling of 4155760 in words is "four million, one hundred fifty-five thousand, seven hundred sixty".