10219840 has 56 divisors (see below), whose sum is σ = 24643080. Its totient is φ = 4036608.

The previous prime is 10219819. The next prime is 10219841. The reversal of 10219840 is 4891201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4227136 + 5992704 = 2056^2 + 2448^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10219841) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 34734 + ... + 35026.

It is an arithmetic number, because the mean of its divisors is an integer number (440055).

Almost surely, 2^10219840 is an apocalyptic number.

10219840 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 10219840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12321540).

10219840 is an abundant number, since it is smaller than the sum of its proper divisors (14423240).

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

10219840 is a wasteful number, since it uses less digits than its factorization.

10219840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 10219840 is about 3196.8484480813. The cubic root of 10219840 is about 217.0108087801.

The spelling of 10219840 in words is "ten million, two hundred nineteen thousand, eight hundred forty".