10648638 has 128 divisors (see below), whose sum is σ = 31933440. Its totient is φ = 2540160.

The previous prime is 10648633. The next prime is 10648663. The reversal of 10648638 is 83684601.

It is a happy number.

10648638 is a `hidden beast` number, since 1 + 0 + 648 + 6 + 3 + 8 = 666.

It is a super-2 number, since 2×10648638² = 226786982510088, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10648633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53956 + ... + 54152.

It is an arithmetic number, because the mean of its divisors is an integer number (249480).

Almost surely, 2^10648638 is an apocalyptic number.

10648638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10648638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15966720).

10648638 is an abundant number, since it is smaller than the sum of its proper divisors (21284802).

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

10648638 is a wasteful number, since it uses less digits than its factorization.

10648638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 10648638 is about 3263.2250918378. The cubic root of 10648638 is about 220.0043938516.

The spelling of 10648638 in words is "ten million, six hundred forty-eight thousand, six hundred thirty-eight".