10634085 has 120 divisors (see below), whose sum is σ = 24718848. Its totient is φ = 4276800.

The previous prime is 10634011. The next prime is 10634087. The reversal of 10634085 is 58043601.

It is not a de Polignac number, because 10634085 - 2¹³ = 10625893 is a prime.

It is a super-2 number, since 2×10634085² = 226167527574450, which contains 22 as substring.

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

Together with 14084763 it forms an amicable pair .

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10634087) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 343020 + ... + 343050.

Almost surely, 2^10634085 is an apocalyptic number.

10634085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10634085 is an abundant number, since it is smaller than the sum of its proper divisors (14084763).

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

10634085 is a wasteful number, since it uses less digits than its factorization.

10634085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 57 counting only the distinct ones).

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

The square root of 10634085 is about 3260.9944802161. The cubic root of 10634085 is about 219.9041248908.

Adding to 10634085 its reverse (58043601), we get a palindrome (68677686).

It can be divided in two parts, 106 and 34085, that added together give a triangular number (34191 = T₂₆₁).

The spelling of 10634085 in words is "ten million, six hundred thirty-four thousand, eighty-five".