7673568 has 96 divisors (see below), whose sum is σ = 24272640. Its totient is φ = 2073600.

The previous prime is 7673543. The next prime is 7673569. The reversal of 7673568 is 8653767.

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 (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7673569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12468 + ... + 13068.

It is an arithmetic number, because the mean of its divisors is an integer number (252840).

Almost surely, 2^7673568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7673568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12136320).

7673568 is an abundant number, since it is smaller than the sum of its proper divisors (16599072).

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

7673568 is a wasteful number, since it uses less digits than its factorization.

7673568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 632 counting only the distinct ones).

The product of its digits is 211680, while the sum is 42.

The square root of 7673568 is about 2770.1205749931. The cubic root of 7673568 is about 197.2418718268.

The spelling of 7673568 in words is "seven million, six hundred seventy-three thousand, five hundred sixty-eight".