4195680 has 48 divisors (see below), whose sum is σ = 13217904. Its totient is φ = 1118720.

The previous prime is 4195679. The next prime is 4195703. The reversal of 4195680 is 865914.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3891 + ... + 4850.

It is an arithmetic number, because the mean of its divisors is an integer number (275373).

Almost surely, 2^4195680 is an apocalyptic number.

4195680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4195680 is an abundant number, since it is smaller than the sum of its proper divisors (9022224).

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

4195680 is a wasteful number, since it uses less digits than its factorization.

4195680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8759 (or 8751 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 4195680 is about 2048.3359099523. The cubic root of 4195680 is about 161.2875280720.

The spelling of 4195680 in words is "four million, one hundred ninety-five thousand, six hundred eighty".