10533744 has 120 divisors (see below), whose sum is σ = 33716592. Its totient is φ = 3041280.

The previous prime is 10533739. The next prime is 10533751. The reversal of 10533744 is 44733501.

10533744 = T₁₃₁ + T₁₃₂ + ... + T₄₀₂.

It is a super-2 number, since 2×10533744² = 221919525315072, which contains 22 as substring.

It is a zygodrome in base 15.

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 23 ways as a sum of consecutive naturals, for example, 31659 + ... + 31989.

Almost surely, 2^10533744 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 10533744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16858296).

10533744 is an abundant number, since it is smaller than the sum of its proper divisors (23182848).

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

10533744 is a wasteful number, since it uses less digits than its factorization.

10533744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 10533744 is about 3245.5729848518. The cubic root of 10533744 is about 219.2102815431.

The spelling of 10533744 in words is "ten million, five hundred thirty-three thousand, seven hundred forty-four".