10247520 has 96 divisors (see below), whose sum is σ = 33209568. Its totient is φ = 2654208.

The previous prime is 10247513. The next prime is 10247539. The reversal of 10247520 is 2574201.

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

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 15 ways as a sum of consecutive naturals, for example, 17472 + ... + 18048.

It is an arithmetic number, because the mean of its divisors is an integer number (345933).

Almost surely, 2^10247520 is an apocalyptic number.

10247520 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 10247520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16604784).

10247520 is an abundant number, since it is smaller than the sum of its proper divisors (22962048).

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

10247520 is a wasteful number, since it uses less digits than its factorization.

10247520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 10247520 is about 3201.1747843565. The cubic root of 10247520 is about 217.2065536654.

The spelling of 10247520 in words is "ten million, two hundred forty-seven thousand, five hundred twenty".