10249800 has 96 divisors (see below), whose sum is σ = 34685280. Its totient is φ = 2483200.

The previous prime is 10249787. The next prime is 10249801. The reversal of 10249800 is 894201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10249801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5824 + ... + 7376.

It is an arithmetic number, because the mean of its divisors is an integer number (361305).

Almost surely, 2^10249800 is an apocalyptic number.

10249800 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 10249800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17342640).

10249800 is an abundant number, since it is smaller than the sum of its proper divisors (24435480).

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

10249800 is a wasteful number, since it uses less digits than its factorization.

10249800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1583 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 10249800 is about 3201.5308838117. The cubic root of 10249800 is about 217.2226614397. Note that the first 3 decimals are identical.

The spelling of 10249800 in words is "ten million, two hundred forty-nine thousand, eight hundred".