10497936 has 80 divisors (see below), whose sum is σ = 29176704. Its totient is φ = 3244032.

The previous prime is 10497931. The next prime is 10497953. The reversal of 10497936 is 63979401.

10497936 = 60² + 61² + ... + 316².

It is a super-2 number, since 2×10497936² = 220413320520192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10497894 and 10497903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10497931) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40720 + ... + 40976.

Almost surely, 2^10497936 is an apocalyptic number.

10497936 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 10497936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14588352).

10497936 is an abundant number, since it is smaller than the sum of its proper divisors (18678768).

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

10497936 is a wasteful number, since it uses less digits than its factorization.

10497936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 10497936 is about 3240.0518514369. The cubic root of 10497936 is about 218.9616079153.

The spelling of 10497936 in words is "ten million, four hundred ninety-seven thousand, nine hundred thirty-six".