7582068 has 72 divisors (see below), whose sum is σ = 21877128. Its totient is φ = 2193408.

The previous prime is 7582063. The next prime is 7582093. The reversal of 7582068 is 8602857.

It can be written as a sum of positive squares in 4 ways, for example, as 675684 + 6906384 = 822^2 + 2628^2 .

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 (7582063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7480 + ... + 8432.

It is an arithmetic number, because the mean of its divisors is an integer number (303849).

Almost surely, 2^7582068 is an apocalyptic number.

7582068 is a gapful number since it is divisible by the number (78) 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 7582068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10938564).

7582068 is an abundant number, since it is smaller than the sum of its proper divisors (14295060).

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

7582068 is a wasteful number, since it uses less digits than its factorization.

7582068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 7582068 is about 2753.5555196872. Note that the first 4 decimals coincide. The cubic root of 7582068 is about 196.4547610637.

The spelling of 7582068 in words is "seven million, five hundred eighty-two thousand, sixty-eight".