10265824 has 48 divisors (see below), whose sum is σ = 21718368. Its totient is φ = 4759552.

The previous prime is 10265809. The next prime is 10265831. The reversal of 10265824 is 42856201.

It is a junction number, because it is equal to n+sod(n) for n = 10265792 and 10265801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61389 + ... + 61555.

It is an arithmetic number, because the mean of its divisors is an integer number (452466).

Almost surely, 2^10265824 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 10265824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10859184).

10265824 is an abundant number, since it is smaller than the sum of its proper divisors (11452544).

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

10265824 is a wasteful number, since it uses less digits than its factorization.

10265824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 10265824 is about 3204.0324592613. The cubic root of 10265824 is about 217.3358006754.

The spelling of 10265824 in words is "ten million, two hundred sixty-five thousand, eight hundred twenty-four".