4596768 has 72 divisors (see below), whose sum is σ = 14270256. Its totient is φ = 1392000.

The previous prime is 4596731. The next prime is 4596833. The reversal of 4596768 is 8676954.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×4596768² = 42260552091648, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2443 + ... + 3893.

It is an arithmetic number, because the mean of its divisors is an integer number (198198).

Almost surely, 2^4596768 is an apocalyptic number.

4596768 is a gapful number since it is divisible by the number (48) 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 4596768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7135128).

4596768 is an abundant number, since it is smaller than the sum of its proper divisors (9673488).

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

4596768 is a wasteful number, since it uses less digits than its factorization.

4596768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1478 (or 1467 counting only the distinct ones).

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

The square root of 4596768 is about 2144.0074626736. The cubic root of 4596768 is about 166.2713903922.

It can be divided in two parts, 459676 and 8, that added together give a square (459684 = 678²).

The spelling of 4596768 in words is "four million, five hundred ninety-six thousand, seven hundred sixty-eight".