10657216 has 28 divisors (see below), whose sum is σ = 21396960. Its totient is φ = 5265920.

The previous prime is 10657193. The next prime is 10657247. The reversal of 10657216 is 61275601.

It is a super-2 number, since 2×10657216² = 227152505741312, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4761 + ... + 6631.

Almost surely, 2^10657216 is an apocalyptic number.

10657216 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 10657216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10698480).

10657216 is an abundant number, since it is smaller than the sum of its proper divisors (10739744).

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

10657216 is an equidigital number, since it uses as much as digits as its factorization.

10657216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1972 (or 1962 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 10657216 is about 3264.5391711542. The cubic root of 10657216 is about 220.0634527715.

It can be divided in two parts, 1065 and 7216, that added together give a square (8281 = 91²).

The spelling of 10657216 in words is "ten million, six hundred fifty-seven thousand, two hundred sixteen".