10535680 has 36 divisors (see below), whose sum is σ = 25239312. Its totient is φ = 4213760.

The previous prime is 10535669. The next prime is 10535687. The reversal of 10535680 is 8653501.

It is a super-2 number, since 2×10535680² = 222001106124800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10535687) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2836 + ... + 5395.

It is an arithmetic number, because the mean of its divisors is an integer number (701092).

Almost surely, 2^10535680 is an apocalyptic number.

10535680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10535680 is an abundant number, since it is smaller than the sum of its proper divisors (14703632).

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

10535680 is an frugal number, since it uses more digits than its factorization.

10535680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8252 (or 8238 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 10535680 is about 3245.8712235700. The cubic root of 10535680 is about 219.2237102951.

The spelling of 10535680 in words is "ten million, five hundred thirty-five thousand, six hundred eighty".