10209680 has 40 divisors (see below), whose sum is σ = 25566072. Its totient is φ = 3769344.

The previous prime is 10209643. The next prime is 10209709. The reversal of 10209680 is 8690201.

It can be written as a sum of positive squares in 4 ways, for example, as 2166784 + 8042896 = 1472^2 + 2836^2 .

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 (26).

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 7 ways as a sum of consecutive naturals, for example, 3869 + ... + 5948.

Almost surely, 2^10209680 is an apocalyptic number.

10209680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10209680 is an abundant number, since it is smaller than the sum of its proper divisors (15356392).

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

10209680 is a wasteful number, since it uses less digits than its factorization.

10209680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9843 (or 9837 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 10209680 is about 3195.2589879382. The cubic root of 10209680 is about 216.9388715528.

Adding to 10209680 its reverse (8690201), we get a palindrome (18899881).

The spelling of 10209680 in words is "ten million, two hundred nine thousand, six hundred eighty".