10097680 has 40 divisors (see below), whose sum is σ = 23706072. Its totient is φ = 3999744.

The previous prime is 10097671. The next prime is 10097741. The reversal of 10097680 is 8679001.

It can be written as a sum of positive squares in 4 ways, for example, as 831744 + 9265936 = 912^2 + 3044^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8482 + ... + 9598.

Almost surely, 2^10097680 is an apocalyptic number.

10097680 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 10097680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11853036).

10097680 is an abundant number, since it is smaller than the sum of its proper divisors (13608392).

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

10097680 is a wasteful number, since it uses less digits than its factorization.

10097680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 10097680 is about 3177.6846917213. The cubic root of 10097680 is about 216.1426812211.

The spelling of 10097680 in words is "ten million, ninety-seven thousand, six hundred eighty".