10287840 has 48 divisors (see below), whose sum is σ = 32408208. Its totient is φ = 2743296.

The previous prime is 10287821. The next prime is 10287847. The reversal of 10287840 is 4878201.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10287798 and 10287807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10287847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10237 + ... + 11196.

It is an arithmetic number, because the mean of its divisors is an integer number (675171).

Almost surely, 2^10287840 is an apocalyptic number.

10287840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10287840 is an abundant number, since it is smaller than the sum of its proper divisors (22120368).

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

10287840 is a wasteful number, since it uses less digits than its factorization.

10287840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21451 (or 21443 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 10287840 is about 3207.4662897683. The cubic root of 10287840 is about 217.4910552538.

The spelling of 10287840 in words is "ten million, two hundred eighty-seven thousand, eight hundred forty".