10492840 has 16 divisors (see below), whose sum is σ = 23608980. Its totient is φ = 4197120.

The previous prime is 10492837. The next prime is 10492847. The reversal of 10492840 is 4829401.

It can be written as a sum of positive squares in 2 ways, for example, as 10381284 + 111556 = 3222^2 + 334^2 .

It is a super-3 number, since 3×10492840³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10492799 and 10492808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10492847) 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, 131121 + ... + 131200.

Almost surely, 2^10492840 is an apocalyptic number.

10492840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10492840 is an abundant number, since it is smaller than the sum of its proper divisors (13116140).

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

10492840 is a wasteful number, since it uses less digits than its factorization.

10492840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262332 (or 262328 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 10492840 is about 3239.2653488098. The cubic root of 10492840 is about 218.9261720939.

It can be divided in two parts, 10 and 492840, that multiplied together give a square (4928400 = 2220²).

The spelling of 10492840 in words is "ten million, four hundred ninety-two thousand, eight hundred forty".