4101760 has 128 divisors (see below), whose sum is σ = 11566800. Its totient is φ = 1376256.

The previous prime is 4101733. The next prime is 4101761. The reversal of 4101760 is 671014.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1617984 + 2483776 = 1272^2 + 1576^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (4101761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141426 + ... + 141454.

Almost surely, 2^4101760 is an apocalyptic number.

4101760 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 4101760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5783400).

4101760 is an abundant number, since it is smaller than the sum of its proper divisors (7465040).

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

4101760 is a wasteful number, since it uses less digits than its factorization.

4101760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 4101760 is about 2025.2802275241. The cubic root of 4101760 is about 160.0749648712.

Adding to 4101760 its reverse (671014), we get a palindrome (4772774).

The spelling of 4101760 in words is "four million, one hundred one thousand, seven hundred sixty".