8037968 has 20 divisors (see below), whose sum is σ = 15954708. Its totient is φ = 3920640.

The previous prime is 8037961. The next prime is 8037973. The reversal of 8037968 is 8697308.

It can be written as a sum of positive squares in 2 ways, for example, as 1827904 + 6210064 = 1352^2 + 2492^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8037961) 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 3 ways as a sum of consecutive naturals, for example, 5471 + ... + 6782.

Almost surely, 2^8037968 is an apocalyptic number.

It is an amenable number.

8037968 is a deficient number, since it is larger than the sum of its proper divisors (7916740).

8037968 is a wasteful number, since it uses less digits than its factorization.

8037968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12302 (or 12296 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 8037968 is about 2835.1310375360. The cubic root of 8037968 is about 200.3159007708.

The spelling of 8037968 in words is "eight million, thirty-seven thousand, nine hundred sixty-eight".