10648192 has 32 divisors (see below), whose sum is σ = 21741300. Its totient is φ = 5191680.

The previous prime is 10648181. The next prime is 10648199. The reversal of 10648192 is 29184601.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10601536 + 46656 = 3256^2 + 216^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×10648192² = 226767985737728, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10648199) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4234 + ... + 6262.

Almost surely, 2^10648192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10648192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10870650).

10648192 is an abundant number, since it is smaller than the sum of its proper divisors (11093108).

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

10648192 is an equidigital number, since it uses as much as digits as its factorization.

10648192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2084 (or 2072 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 10648192 is about 3263.1567538198. The cubic root of 10648192 is about 220.0013223061.

The spelling of 10648192 in words is "ten million, six hundred forty-eight thousand, one hundred ninety-two".