10204640 has 96 divisors (see below), whose sum is σ = 26127360. Its totient is φ = 3756544.

The previous prime is 10204633. The next prime is 10204643. The reversal of 10204640 is 4640201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10204643) 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 15 ways as a sum of consecutive naturals, for example, 172931 + ... + 172989.

It is an arithmetic number, because the mean of its divisors is an integer number (272160).

Almost surely, 2^10204640 is an apocalyptic number.

10204640 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 10204640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13063680).

10204640 is an abundant number, since it is smaller than the sum of its proper divisors (15922720).

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

10204640 is a wasteful number, since it uses less digits than its factorization.

10204640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 10204640 is about 3194.4702221182. The cubic root of 10204640 is about 216.9031684463.

Adding to 10204640 its reverse (4640201), we get a palindrome (14844841).

The spelling of 10204640 in words is "ten million, two hundred four thousand, six hundred forty".