10075824 has 60 divisors (see below), whose sum is σ = 30766632. Its totient is φ = 3052800.

The previous prime is 10075787. The next prime is 10075829. The reversal of 10075824 is 42857001.

It is a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (10075829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1597 + ... + 4764.

Almost surely, 2^10075824 is an apocalyptic number.

It is an amenable number.

10075824 is an abundant number, since it is smaller than the sum of its proper divisors (20690808).

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

10075824 is a wasteful number, since it uses less digits than its factorization.

10075824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6386 (or 6377 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 10075824 is about 3174.2438469658. The cubic root of 10075824 is about 215.9866246862.

The spelling of 10075824 in words is "ten million, seventy-five thousand, eight hundred twenty-four".