4155680 has 48 divisors (see below), whose sum is σ = 10342080. Its totient is φ = 1573632.

The previous prime is 4155673. The next prime is 4155703. The reversal of 4155680 is 865514.

4155680 = T₂₁₁ + T₂₁₂ + ... + T₃₂₄.

It is a happy number.

4155680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2357 + ... + 3723.

It is an arithmetic number, because the mean of its divisors is an integer number (215460).

Almost surely, 2^4155680 is an apocalyptic number.

4155680 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 4155680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5171040).

4155680 is an abundant number, since it is smaller than the sum of its proper divisors (6186400).

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

4155680 is a wasteful number, since it uses less digits than its factorization.

4155680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 4155680 is about 2038.5485032248. The cubic root of 4155680 is about 160.7733394741.

The spelling of 4155680 in words is "four million, one hundred fifty-five thousand, six hundred eighty".