10824540 has 48 divisors (see below), whose sum is σ = 31358880. Its totient is φ = 2786560.

The previous prime is 10824503. The next prime is 10824551. The reversal of 10824540 is 4542801.

10824540 = 198² + 199² + ... + 342².

10824540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10824540.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1371 + ... + 4850.

It is an arithmetic number, because the mean of its divisors is an integer number (653310).

Almost surely, 2^10824540 is an apocalyptic number.

10824540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10824540 is an abundant number, since it is smaller than the sum of its proper divisors (20534340).

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

10824540 is a wasteful number, since it uses less digits than its factorization.

10824540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6262 (or 6260 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 10824540 is about 3290.0668686214. The cubic root of 10824540 is about 221.2091820388.

The spelling of 10824540 in words is "ten million, eight hundred twenty-four thousand, five hundred forty".