4891680 has 144 divisors (see below), whose sum is σ = 17297280. Its totient is φ = 1257984.

The previous prime is 4891661. The next prime is 4891681. The reversal of 4891680 is 861984.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4891681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61881 + ... + 61959.

It is an arithmetic number, because the mean of its divisors is an integer number (120120).

Almost surely, 2^4891680 is an apocalyptic number.

4891680 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 4891680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8648640).

4891680 is an abundant number, since it is smaller than the sum of its proper divisors (12405600).

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

4891680 is a wasteful number, since it uses less digits than its factorization.

4891680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 4891680 is about 2211.7142672597. The cubic root of 4891680 is about 169.7537380162.

The spelling of 4891680 in words is "four million, eight hundred ninety-one thousand, six hundred eighty".