10007008 has 24 divisors (see below), whose sum is σ = 21493080. Its totient is φ = 4548480.

The previous prime is 10006987. The next prime is 10007021. The reversal of 10007008 is 80070001.

It is a super-2 number, since 2×10007008² = 200280418224128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10006982 and 10007000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13863 + ... + 14566.

It is an arithmetic number, because the mean of its divisors is an integer number (895545).

Almost surely, 2^10007008 is an apocalyptic number.

It is an amenable number.

10007008 is an abundant number, since it is smaller than the sum of its proper divisors (11486072).

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

10007008 is a wasteful number, since it uses less digits than its factorization.

10007008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28450 (or 28442 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 10007008 is about 3163.3855281960. The cubic root of 10007008 is about 215.4937848456.

Adding to 10007008 its reverse (80070001), we get a palindrome (90077009).

It can be divided in two parts, 1000 and 7008, that added together give a palindrome (8008).

The spelling of 10007008 in words is "ten million, seven thousand, eight".