10248192 has 84 divisors (see below), whose sum is σ = 29817060. Its totient is φ = 3391488.

The previous prime is 10248181. The next prime is 10248257. The reversal of 10248192 is 29184201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73659 + ... + 73797.

It is an arithmetic number, because the mean of its divisors is an integer number (354965).

Almost surely, 2^10248192 is an apocalyptic number.

10248192 is a gapful number since it is divisible by the number (12) 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 10248192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14908530).

10248192 is an abundant number, since it is smaller than the sum of its proper divisors (19568868).

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

10248192 is an equidigital number, since it uses as much as digits as its factorization.

10248192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 10248192 is about 3201.2797441023. The cubic root of 10248192 is about 217.2113014683.

It can be divided in two parts, 10248 and 192, that added together give a triangular number (10440 = T₁₄₄).

The spelling of 10248192 in words is "ten million, two hundred forty-eight thousand, one hundred ninety-two".