1007601685 has 8 divisors (see below), whose sum is σ = 1212365880. Its totient is φ = 803918784.

The previous prime is 1007601659. The next prime is 1007601697. The reversal of 1007601685 is 5861067001.

It can be written as a sum of positive squares in 4 ways, for example, as 46539684 + 961062001 = 6822^2 + 31001^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1007601685 - 2²⁵ = 974047253 is a prime.

It is a super-3 number, since 3×1007601685³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1007601685.

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 7 ways as a sum of consecutive naturals, for example, 268270 + ... + 271999.

It is an arithmetic number, because the mean of its divisors is an integer number (151545735).

Almost surely, 2^1007601685 is an apocalyptic number.

It is an amenable number.

1007601685 is a deficient number, since it is larger than the sum of its proper divisors (204764195).

1007601685 is an equidigital number, since it uses as much as digits as its factorization.

1007601685 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540647.

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 1007601685 is about 31742.7422413376. The cubic root of 1007601685 is about 1002.5275013548.

Adding to 1007601685 its reverse (5861067001), we get a palindrome (6868668686).

The spelling of 1007601685 in words is "one billion, seven million, six hundred one thousand, six hundred eighty-five".