10527216 has 160 divisors (see below), whose sum is σ = 34997760. Its totient is φ = 2654208.

The previous prime is 10527211. The next prime is 10527221. The reversal of 10527216 is 61272501.

It is an interprime number because it is at equal distance from previous prime (10527211) and next prime (10527221).

It is a super-2 number, since 2×10527216² = 221644553421312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10527211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108480 + ... + 108576.

It is an arithmetic number, because the mean of its divisors is an integer number (218736).

Almost surely, 2^10527216 is an apocalyptic number.

10527216 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 10527216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17498880).

10527216 is an abundant number, since it is smaller than the sum of its proper divisors (24470544).

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

10527216 is a wasteful number, since it uses less digits than its factorization.

10527216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 10527216 is about 3244.5671514086. The cubic root of 10527216 is about 219.1649889915.

Adding to 10527216 its reverse (61272501), we get a palindrome (71799717).

The spelling of 10527216 in words is "ten million, five hundred twenty-seven thousand, two hundred sixteen".