10543680 has 168 divisors, whose sum is σ = 41525952. Its totient is φ = 2405376.

The previous prime is 10543633. The next prime is 10543699. The reversal of 10543680 is 8634501.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×10543680² = 222338375884800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 19899 + ... + 20421.

Almost surely, 2^10543680 is an apocalyptic number.

10543680 is a gapful number since it is divisible by the number (10) 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 10543680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20762976).

10543680 is an abundant number, since it is smaller than the sum of its proper divisors (30982272).

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

10543680 is a wasteful number, since it uses less digits than its factorization.

10543680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 10543680 is about 3247.1033245032. The cubic root of 10543680 is about 219.2791835685.

The spelling of 10543680 in words is "ten million, five hundred forty-three thousand, six hundred eighty".