10532896 has 48 divisors (see below), whose sum is σ = 23623488. Its totient is φ = 4576000.

The previous prime is 10532891. The next prime is 10532903. The reversal of 10532896 is 69823501.

It is a super-2 number, since 2×10532896² = 221883796293632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10532891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7446 + ... + 8746.

It is an arithmetic number, because the mean of its divisors is an integer number (492156).

Almost surely, 2^10532896 is an apocalyptic number.

10532896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10532896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11811744).

10532896 is an abundant number, since it is smaller than the sum of its proper divisors (13090592).

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

10532896 is a wasteful number, since it uses less digits than its factorization.

10532896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 10532896 is about 3245.4423427323. The cubic root of 10532896 is about 219.2043990095.

Subtracting 10532896 from its reverse (69823501), we obtain a triangular number (59290605 = T₁₀₈₈₉).

The spelling of 10532896 in words is "ten million, five hundred thirty-two thousand, eight hundred ninety-six".