4560768 has 96 divisors (see below), whose sum is σ = 13604760. Its totient is φ = 1465344.

The previous prime is 4560761. The next prime is 4560769. The reversal of 4560768 is 8670654.

It is a happy number.

4560768 is a `hidden beast` number, since 45 + 607 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4560761) 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, 42571 + ... + 42677.

Almost surely, 2^4560768 is an apocalyptic number.

4560768 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 4560768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6802380).

4560768 is an abundant number, since it is smaller than the sum of its proper divisors (9043992).

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

4560768 is a wasteful number, since it uses less digits than its factorization.

4560768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 149 counting only the distinct ones).

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

The square root of 4560768 is about 2135.5954673112. The cubic root of 4560768 is about 165.8361958940.

The spelling of 4560768 in words is "four million, five hundred sixty thousand, seven hundred sixty-eight".