10209040 has 40 divisors (see below), whose sum is σ = 24384600. Its totient is φ = 3972096.

The previous prime is 10209037. The next prime is 10209047. The reversal of 10209040 is 4090201.

It can be written as a sum of positive squares in 4 ways, for example, as 374544 + 9834496 = 612^2 + 3136^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (10209047) 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, 1236 + ... + 4684.

It is an arithmetic number, because the mean of its divisors is an integer number (609615).

Almost surely, 2^10209040 is an apocalyptic number.

10209040 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 10209040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12192300).

10209040 is an abundant number, since it is smaller than the sum of its proper divisors (14175560).

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

10209040 is a wasteful number, since it uses less digits than its factorization.

10209040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3499 (or 3493 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 10209040 is about 3195.1588379923. The cubic root of 10209040 is about 216.9343384763.

Adding to 10209040 its reverse (4090201), we get a palindrome (14299241).

The spelling of 10209040 in words is "ten million, two hundred nine thousand, forty".