4106880 has 192 divisors, whose sum is σ = 15275520. Its totient is φ = 1013760.

The previous prime is 4106867. The next prime is 4106891. The reversal of 4106880 is 886014.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nialpdrome in base 4.

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132465 + ... + 132495.

It is an arithmetic number, because the mean of its divisors is an integer number (79560).

Almost surely, 2^4106880 is an apocalyptic number.

4106880 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 4106880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7637760).

4106880 is an abundant number, since it is smaller than the sum of its proper divisors (11168640).

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

4106880 is a wasteful number, since it uses less digits than its factorization.

4106880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 4106880 is about 2026.5438559281. The cubic root of 4106880 is about 160.1415414174.

The spelling of 4106880 in words is "four million, one hundred six thousand, eight hundred eighty".