10543632 has 80 divisors (see below), whose sum is σ = 31307520. Its totient is φ = 3024000.

The previous prime is 10543619. The next prime is 10543633. The reversal of 10543632 is 23634501.

It is a happy number.

It is a super-2 number, since 2×10543632² = 222336351502848, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (10543633) 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 15 ways as a sum of consecutive naturals, for example, 9507 + ... + 10557.

It is an arithmetic number, because the mean of its divisors is an integer number (391344).

Almost surely, 2^10543632 is an apocalyptic number.

10543632 is a gapful number since it is divisible by the number (12) 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 10543632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15653760).

10543632 is an abundant number, since it is smaller than the sum of its proper divisors (20763888).

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

10543632 is a wasteful number, since it uses less digits than its factorization.

10543632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 10543632 is about 3247.0959332918. The cubic root of 10543632 is about 219.2788508125.

It can be divided in two parts, 10543 and 632, that added together give a triangular number (11175 = T₁₄₉).

The spelling of 10543632 in words is "ten million, five hundred forty-three thousand, six hundred thirty-two".