10537824 has 96 divisors (see below), whose sum is σ = 32006016. Its totient is φ = 3000320.

The previous prime is 10537819. The next prime is 10537843. The reversal of 10537824 is 42873501.

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

It is a super-2 number, since 2×10537824² = 222091469309952, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10537791 and 10537800.

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, 17659 + ... + 18245.

It is an arithmetic number, because the mean of its divisors is an integer number (333396).

Almost surely, 2^10537824 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 10537824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16003008).

10537824 is an abundant number, since it is smaller than the sum of its proper divisors (21468192).

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

10537824 is a wasteful number, since it uses less digits than its factorization.

10537824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 10537824 is about 3246.2014724906. The cubic root of 10537824 is about 219.2385798860.

The spelling of 10537824 in words is "ten million, five hundred thirty-seven thousand, eight hundred twenty-four".