8006976 has 42 divisors (see below), whose sum is σ = 22952202. Its totient is φ = 2668800.

The previous prime is 8006941. The next prime is 8006989. The reversal of 8006976 is 6796008.

It can be written as a sum of positive squares in only one way, i.e., 7617600 + 389376 = 2760^2 + 624^2 .

It is a super-2 number, since 2×8006976² = 128223329329152, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 8006976.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6375 + ... + 7526.

It is an arithmetic number, because the mean of its divisors is an integer number (546481).

Almost surely, 2^8006976 is an apocalyptic number.

It is an amenable number.

8006976 is an abundant number, since it is smaller than the sum of its proper divisors (14945226).

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

8006976 is a wasteful number, since it uses less digits than its factorization.

8006976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13919 (or 13906 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 8006976 is about 2829.6600502534. The cubic root of 8006976 is about 200.0581164441.

It can be divided in two parts, 800 and 6976, that added together give a 5-th power (7776 = 6⁵).

The spelling of 8006976 in words is "eight million, six thousand, nine hundred seventy-six".