8695376001 has 45 divisors (see below), whose sum is σ = 14083103001. Its totient is φ = 5344286688.

The previous prime is 8695375963. The next prime is 8695376003. The reversal of 8695376001 is 1006735968.

It is a happy number.

The square root of 8695376001 is 93249.

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

8695376001 is a `hidden beast` number, since 8 + 6 + 9 + 5 + 37 + 600 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1354313601 + 7341062400 = 36801^2 + 85680^2 .

It is not a de Polignac number, because 8695376001 - 2²¹ = 8693278849 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8695376003) 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 44 ways as a sum of consecutive naturals, for example, 10909735 + ... + 10910531.

Almost surely, 2^8695376001 is an apocalyptic number.

8695376001 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

8695376001 is the 93249-th square number.

8695376001 is the 46625-th centered octagonal number.

It is an amenable number.

8695376001 is a deficient number, since it is larger than the sum of its proper divisors (5387727000).

8695376001 is an frugal number, since it uses more digits than its factorization.

8695376001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The cubic root of 8695376001 is about 2056.3456751755.

The spelling of 8695376001 in words is "eight billion, six hundred ninety-five million, three hundred seventy-six thousand, one".