10004864 has 16 divisors (see below), whose sum is σ = 19931820. Its totient is φ = 5002368.

The previous prime is 10004851. The next prime is 10004879. The reversal of 10004864 is 46840001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38954 + ... + 39209.

Almost surely, 2^10004864 is an apocalyptic number.

It is an amenable number.

10004864 is a deficient number, since it is larger than the sum of its proper divisors (9926956).

10004864 is an frugal number, since it uses more digits than its factorization.

10004864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78177 (or 78165 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 10004864 is about 3163.0466325997. The cubic root of 10004864 is about 215.4783939091.

Adding to 10004864 its reverse (46840001), we get a palindrome (56844865).

The spelling of 10004864 in words is "ten million, four thousand, eight hundred sixty-four".