10535640 has 32 divisors (see below), whose sum is σ = 31607280. Its totient is φ = 2809472.

The previous prime is 10535627. The next prime is 10535653. The reversal of 10535640 is 4653501.

It is an interprime number because it is at equal distance from previous prime (10535627) and next prime (10535653).

It is a super-2 number, since 2×10535640² = 221999420419200, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10535640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43779 + ... + 44018.

Almost surely, 2^10535640 is an apocalyptic number.

10535640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10535640 is an abundant number, since it is smaller than the sum of its proper divisors (21071640).

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

10535640 is a wasteful number, since it uses less digits than its factorization.

10535640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87811 (or 87807 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 10535640 is about 3245.8650618903. The cubic root of 10535640 is about 219.2234328582.

It can be divided in two parts, 10535 and 640, that added together give a triangular number (11175 = T₁₄₉).

The spelling of 10535640 in words is "ten million, five hundred thirty-five thousand, six hundred forty".