10001416 has 8 divisors (see below), whose sum is σ = 18752670. Its totient is φ = 5000704.

The previous prime is 10001401. The next prime is 10001419. The reversal of 10001416 is 61410001.

It can be written as a sum of positive squares in only one way, i.e., 8678916 + 1322500 = 2946^2 + 1150^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a junction number, because it is equal to n+sod(n) for n = 10001396 and 10001405.

It is not an unprimeable number, because it can be changed into a prime (10001419) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 625081 + ... + 625096.

Almost surely, 2^10001416 is an apocalyptic number.

It is an amenable number.

10001416 is a deficient number, since it is larger than the sum of its proper divisors (8751254).

10001416 is a wasteful number, since it uses less digits than its factorization.

10001416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250183 (or 1250179 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 10001416 is about 3162.5015415016. The cubic root of 10001416 is about 215.4536374550.

Adding to 10001416 its reverse (61410001), we get a palindrome (71411417).

The spelling of 10001416 in words is "ten million, one thousand, four hundred sixteen".