10646496 has 72 divisors (see below), whose sum is σ = 34607664. Its totient is φ = 3041280.

The previous prime is 10646483. The next prime is 10646507. The reversal of 10646496 is 69464601.

10646496 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 649 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×10646496² = 226695754156032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10646496.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 625 + ... + 4656.

It is an arithmetic number, because the mean of its divisors is an integer number (480662).

Almost surely, 2^10646496 is an apocalyptic number.

10646496 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 10646496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17303832).

10646496 is an abundant number, since it is smaller than the sum of its proper divisors (23961168).

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

10646496 is a wasteful number, since it uses less digits than its factorization.

10646496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5304 (or 5293 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 10646496 is about 3262.8968724126. The cubic root of 10646496 is about 219.9896413856.

The spelling of 10646496 in words is "ten million, six hundred forty-six thousand, four hundred ninety-six".