10004874 has 64 divisors (see below), whose sum is σ = 23836032. Its totient is φ = 2764800.

The previous prime is 10004851. The next prime is 10004879. The reversal of 10004874 is 47840001.

It is not an unprimeable number, because it can be changed into a prime (10004879) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41394 + ... + 41634.

It is an arithmetic number, because the mean of its divisors is an integer number (372438).

Almost surely, 2^10004874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10004874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11918016).

10004874 is an abundant number, since it is smaller than the sum of its proper divisors (13831158).

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

10004874 is a wasteful number, since it uses less digits than its factorization.

10004874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311.

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 10004874 is about 3163.0482133537. The cubic root of 10004874 is about 215.4784657003.

Adding to 10004874 its reverse (47840001), we get a palindrome (57844875).

It can be divided in two parts, 10004 and 874, that added together give a triangular number (10878 = T₁₄₇).

The spelling of 10004874 in words is "ten million, four thousand, eight hundred seventy-four".