10347840 has 84 divisors (see below), whose sum is σ = 35602164. Its totient is φ = 2758656.

The previous prime is 10347839. The next prime is 10347853. The reversal of 10347840 is 4874301.

It can be written as a sum of positive squares in 2 ways, for example, as 3504384 + 6843456 = 1872^2 + 2616^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1084 + ... + 4676.

Almost surely, 2^10347840 is an apocalyptic number.

10347840 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 10347840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17801082).

10347840 is an abundant number, since it is smaller than the sum of its proper divisors (25254324).

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

10347840 is a wasteful number, since it uses less digits than its factorization.

10347840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3616 (or 3603 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 10347840 is about 3216.8058691814. The cubic root of 10347840 is about 217.9130478353.

The spelling of 10347840 in words is "ten million, three hundred forty-seven thousand, eight hundred forty".