10085076 has 36 divisors (see below), whose sum is σ = 25590292. Its totient is φ = 3348864.

The previous prime is 10085051. The next prime is 10085077. The reversal of 10085076 is 67058001.

10085076 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3459600 + 6625476 = 1860^2 + 2574^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10085077) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16146 + ... + 16758.

Almost surely, 2^10085076 is an apocalyptic number.

It is an amenable number.

10085076 is an abundant number, since it is smaller than the sum of its proper divisors (15505216).

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

10085076 is a wasteful number, since it uses less digits than its factorization.

10085076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 10085076 is about 3175.7008675252. The cubic root of 10085076 is about 216.0527134720.

It can be divided in two parts, 1008 and 5076, that added together give a square (6084 = 78²).

The spelling of 10085076 in words is "ten million, eighty-five thousand, seventy-six".