4657968 has 60 divisors (see below), whose sum is σ = 14901328. Its totient is φ = 1330560.

The previous prime is 4657963. The next prime is 4657981. The reversal of 4657968 is 8697564.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4657963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1303 + ... + 3318.

Almost surely, 2^4657968 is an apocalyptic number.

4657968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4657968 is an abundant number, since it is smaller than the sum of its proper divisors (10243360).

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

4657968 is a wasteful number, since it uses less digits than its factorization.

4657968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4642 (or 4633 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 4657968 is about 2158.2326102624. The cubic root of 4657968 is about 167.0060356144.

It can be divided in two parts, 4657 and 968, that added together give a square (5625 = 75²).

The spelling of 4657968 in words is "four million, six hundred fifty-seven thousand, nine hundred sixty-eight".