4967680 has 36 divisors (see below), whose sum is σ = 11902212. Its totient is φ = 1986560.

The previous prime is 4967659. The next prime is 4967681. The reversal of 4967680 is 867694.

It can be written as a sum of positive squares in 2 ways, for example, as 2458624 + 2509056 = 1568^2 + 1584^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4967681) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 661 + ... + 3220.

It is an arithmetic number, because the mean of its divisors is an integer number (330617).

Almost surely, 2^4967680 is an apocalyptic number.

4967680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4967680 is an abundant number, since it is smaller than the sum of its proper divisors (6934532).

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

4967680 is an equidigital number, since it uses as much as digits as its factorization.

4967680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3902 (or 3888 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 4967680 is about 2228.8292891112. The cubic root of 4967680 is about 170.6283551157.

The spelling of 4967680 in words is "four million, nine hundred sixty-seven thousand, six hundred eighty".