10249824 has 96 divisors (see below), whose sum is σ = 29804544. Its totient is φ = 3064320.

The previous prime is 10249823. The next prime is 10249853. The reversal of 10249824 is 42894201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 10249791 and 10249800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10249823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53569 + ... + 53759.

It is an arithmetic number, because the mean of its divisors is an integer number (310464).

Almost surely, 2^10249824 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 10249824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14902272).

10249824 is an abundant number, since it is smaller than the sum of its proper divisors (19554720).

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

10249824 is a wasteful number, since it uses less digits than its factorization.

10249824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 10249824 is about 3201.5346320163. The cubic root of 10249824 is about 217.2228309825. Note that the first 3 decimals are identical.

The spelling of 10249824 in words is "ten million, two hundred forty-nine thousand, eight hundred twenty-four".