10309680 has 200 divisors, whose sum is σ = 37630032. Its totient is φ = 2612736.

The previous prime is 10309669. The next prime is 10309709. The reversal of 10309680 is 8690301.

10309680 = 103² + 104² + ... + 317².

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 239739 + ... + 239781.

Almost surely, 2^10309680 is an apocalyptic number.

10309680 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 10309680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18815016).

10309680 is an abundant number, since it is smaller than the sum of its proper divisors (27320352).

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

10309680 is a wasteful number, since it uses less digits than its factorization.

10309680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 10309680 is about 3210.8690412410. The cubic root of 10309680 is about 217.6448500041.

Adding to 10309680 its reverse (8690301), we get a palindrome (18999981).

The spelling of 10309680 in words is "ten million, three hundred nine thousand, six hundred eighty".