4971680 has 96 divisors (see below), whose sum is σ = 14079744. Its totient is φ = 1622016.

The previous prime is 4971679. The next prime is 4971691. The reversal of 4971680 is 861794.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 4971680.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 25664 + ... + 25856.

It is an arithmetic number, because the mean of its divisors is an integer number (146664).

Almost surely, 2^4971680 is an apocalyptic number.

4971680 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 4971680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7039872).

4971680 is an abundant number, since it is smaller than the sum of its proper divisors (9108064).

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

4971680 is a wasteful number, since it uses less digits than its factorization.

4971680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 4971680 is about 2229.7264406200. The cubic root of 4971680 is about 170.6741397552.

The spelling of 4971680 in words is "four million, nine hundred seventy-one thousand, six hundred eighty".