10004610 has 128 divisors (see below), whose sum is σ = 30855168. Its totient is φ = 2016000.

The previous prime is 10004597. The next prime is 10004611. The reversal of 10004610 is 1640001.

It is not an unprimeable number, because it can be changed into a prime (10004611) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 140875 + ... + 140945.

It is an arithmetic number, because the mean of its divisors is an integer number (241056).

Almost surely, 2^10004610 is an apocalyptic number.

10004610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10004610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15427584).

10004610 is an abundant number, since it is smaller than the sum of its proper divisors (20850558).

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

10004610 is a wasteful number, since it uses less digits than its factorization.

10004610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 10004610 is about 3163.0064811821. The cubic root of 10004610 is about 215.4765703969.

Adding to 10004610 its reverse (1640001), we get a palindrome (11644611).

The spelling of 10004610 in words is "ten million, four thousand, six hundred ten".