10085634 has 40 divisors (see below), whose sum is σ = 24342780. Its totient is φ = 3102624.

The previous prime is 10085629. The next prime is 10085639. The reversal of 10085634 is 43658001.

It is an interprime number because it is at equal distance from previous prime (10085629) and next prime (10085639).

It can be written as a sum of positive squares in 2 ways, for example, as 8139609 + 1946025 = 2853^2 + 1395^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10085598 and 10085607.

It is not an unprimeable number, because it can be changed into a prime (10085639) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 289 + ... + 4500.

Almost surely, 2^10085634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10085634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12171390).

10085634 is an abundant number, since it is smaller than the sum of its proper divisors (14257146).

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

10085634 is a wasteful number, since it uses less digits than its factorization.

10085634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4816 (or 4807 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 10085634 is about 3175.7887209322. The cubic root of 10085634 is about 216.0566980789.

The spelling of 10085634 in words is "ten million, eighty-five thousand, six hundred thirty-four".