4657680 has 60 divisors (see below), whose sum is σ = 15644460. Its totient is φ = 1241856.

The previous prime is 4657621. The next prime is 4657687. The reversal of 4657680 is 867564.

It is a happy number.

4657680 is a `hidden beast` number, since 4 + 6 + 576 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 831744 + 3825936 = 912^2 + 1956^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 (4657687) 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 11 ways as a sum of consecutive naturals, for example, 2515 + ... + 3954.

It is an arithmetic number, because the mean of its divisors is an integer number (260741).

Almost surely, 2^4657680 is an apocalyptic number.

4657680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4657680 is an abundant number, since it is smaller than the sum of its proper divisors (10986780).

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

4657680 is a wasteful number, since it uses less digits than its factorization.

4657680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6488 (or 6479 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 4657680 is about 2158.1658879706. The cubic root of 4657680 is about 167.0025935749.

It can be divided in two parts, 46576 and 80, that added together give a 6-th power (46656 = 6⁶).

The spelling of 4657680 in words is "four million, six hundred fifty-seven thousand, six hundred eighty".