10027216 has 10 divisors (see below), whose sum is σ = 19427762. Its totient is φ = 5013600.

The previous prime is 10027189. The next prime is 10027217. The reversal of 10027216 is 61272001.

10027216 = T₂₅₈₄ + T₂₅₈₅ + T₂₅₈₆.

It can be written as a sum of positive squares in only one way, i.e., 9985600 + 41616 = 3160^2 + 204^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10027193 and 10027202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10027217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 313335 + ... + 313366.

Almost surely, 2^10027216 is an apocalyptic number.

10027216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10027216 is the 2586-th centered triangular number.

It is an amenable number.

10027216 is a deficient number, since it is larger than the sum of its proper divisors (9400546).

10027216 is an equidigital number, since it uses as much as digits as its factorization.

10027216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626709 (or 626703 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 10027216 is about 3166.5779636699. The cubic root of 10027216 is about 215.6387422734.

Adding to 10027216 its reverse (61272001), we get a palindrome (71299217).

The spelling of 10027216 in words is "ten million, twenty-seven thousand, two hundred sixteen".