10304640 has 96 divisors (see below), whose sum is σ = 35603100. Its totient is φ = 2746368.

The previous prime is 10304639. The next prime is 10304663. The reversal of 10304640 is 4640301.

It can be written as a sum of positive squares in 2 ways, for example, as 9884736 + 419904 = 3144^2 + 648^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4866 + ... + 6654.

Almost surely, 2^10304640 is an apocalyptic number.

10304640 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 10304640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17801550).

10304640 is an abundant number, since it is smaller than the sum of its proper divisors (25298460).

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

10304640 is a wasteful number, since it uses less digits than its factorization.

10304640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1814 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 10304640 is about 3210.0841110476. The cubic root of 10304640 is about 217.6093782002.

Adding to 10304640 its reverse (4640301), we get a palindrome (14944941).

The spelling of 10304640 in words is "ten million, three hundred four thousand, six hundred forty".