10540824 has 32 divisors (see below), whose sum is σ = 30117120. Its totient is φ = 3011616.

The previous prime is 10540811. The next prime is 10540841. The reversal of 10540824 is 42804501.

It is a super-2 number, since 2×10540824² = 222217941197952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10540794 and 10540803.

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, 31204 + ... + 31539.

It is an arithmetic number, because the mean of its divisors is an integer number (941160).

Almost surely, 2^10540824 is an apocalyptic number.

10540824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10540824 is an abundant number, since it is smaller than the sum of its proper divisors (19576296).

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

10540824 is a wasteful number, since it uses less digits than its factorization.

10540824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62759 (or 62755 counting only the distinct ones).

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

The square root of 10540824 is about 3246.6635181367. The cubic root of 10540824 is about 219.2593828315.

The spelling of 10540824 in words is "ten million, five hundred forty thousand, eight hundred twenty-four".