10007368 has 40 divisors (see below), whose sum is σ = 21931830. Its totient is φ = 4280640.

The previous prime is 10007359. The next prime is 10007401. The reversal of 10007368 is 86370001.

It can be written as a sum of positive squares in only one way, i.e., 9229444 + 777924 = 3038^2 + 882^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 18948 + ... + 19468.

Almost surely, 2^10007368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10007368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10965915).

10007368 is an abundant number, since it is smaller than the sum of its proper divisors (11924462).

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

10007368 is an frugal number, since it uses more digits than its factorization.

10007368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 10007368 is about 3163.4424287475. The cubic root of 10007368 is about 215.4963689291.

Adding to 10007368 its reverse (86370001), we get a palindrome (96377369).

The spelling of 10007368 in words is "ten million, seven thousand, three hundred sixty-eight".