7301968 has 20 divisors (see below), whose sum is σ = 14636340. Its totient is φ = 3524864.

The previous prime is 7301951. The next prime is 7301981. The reversal of 7301968 is 8691037.

It can be written as a sum of positive squares in 2 ways, for example, as 5419584 + 1882384 = 2328^2 + 1372^2 .

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 7405 + ... + 8332.

It is an arithmetic number, because the mean of its divisors is an integer number (731817).

Almost surely, 2^7301968 is an apocalyptic number.

It is an amenable number.

7301968 is an abundant number, since it is smaller than the sum of its proper divisors (7334372).

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

7301968 is a wasteful number, since it uses less digits than its factorization.

7301968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15774 (or 15768 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 7301968 is about 2702.2153874183. The cubic root of 7301968 is about 194.0051722148.

The spelling of 7301968 in words is "seven million, three hundred one thousand, nine hundred sixty-eight".