80964004 has 27 divisors (see below), whose sum is σ = 156120321. Its totient is φ = 36711840.

The previous prime is 80963999. The next prime is 80964007. The reversal of 80964004 is 40046908.

The square root of 80964004 is 8998.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 73994404 + 6969600 = 8602^2 + 2640^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (80964007) 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 8 ways as a sum of consecutive naturals, for example, 197752 + ... + 198160.

Almost surely, 2^80964004 is an apocalyptic number.

80964004 is the 8998-th square number.

It is an amenable number.

80964004 is a deficient number, since it is larger than the sum of its proper divisors (75156317).

80964004 is a wasteful number, since it uses less digits than its factorization.

80964004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The cubic root of 80964004 is about 432.6107687370.

It can be divided in two parts, 8096 and 4004, that added together give a square (12100 = 110²).

The spelling of 80964004 in words is "eighty million, nine hundred sixty-four thousand, four".