10248000 has 224 divisors, whose sum is σ = 39307008. Its totient is φ = 2304000.

The previous prime is 10247989. The next prime is 10248013. The reversal of 10248000 is 84201.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (15).

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 31 ways as a sum of consecutive naturals, for example, 167970 + ... + 168030.

Almost surely, 2^10248000 is an apocalyptic number.

10248000 is a gapful number since it is divisible by the number (10) 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 10248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19653504).

10248000 is an abundant number, since it is smaller than the sum of its proper divisors (29059008).

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

10248000 is an equidigital number, since it uses as much as digits as its factorization.

10248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 10248000 is about 3201.2497559547. The cubic root of 10248000 is about 217.2099449743.

The spelling of 10248000 in words is "ten million, two hundred forty-eight thousand".