10017216 has 224 divisors, whose sum is σ = 35112960. Its totient is φ = 2764800.

The previous prime is 10017193. The next prime is 10017223. The reversal of 10017216 is 61271001.

10017216 = T₅₁ + T₅₂ + ... + T₃₉₁.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 323121 + ... + 323151.

Almost surely, 2^10017216 is an apocalyptic number.

10017216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10017216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17556480).

10017216 is an abundant number, since it is smaller than the sum of its proper divisors (25095744).

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

10017216 is a wasteful number, since it uses less digits than its factorization.

10017216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 10017216 is about 3164.9985781987. The cubic root of 10017216 is about 215.5670339459.

Adding to 10017216 its reverse (61271001), we get a palindrome (71288217).

The spelling of 10017216 in words is "ten million, seventeen thousand, two hundred sixteen".