10391680 has 64 divisors (see below), whose sum is σ = 26775000. Its totient is φ = 3833856.

The previous prime is 10391677. The next prime is 10391687. The reversal of 10391680 is 8619301.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6031936 + 4359744 = 2456^2 + 2088^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10391687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7696 + ... + 8944.

Almost surely, 2^10391680 is an apocalyptic number.

10391680 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 10391680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13387500).

10391680 is an abundant number, since it is smaller than the sum of its proper divisors (16383320).

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

10391680 is a wasteful number, since it uses less digits than its factorization.

10391680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 10391680 is about 3223.6128799842. The cubic root of 10391680 is about 218.2203534629.

The spelling of 10391680 in words is "ten million, three hundred ninety-one thousand, six hundred eighty".