10319680 has 112 divisors (see below), whose sum is σ = 29846016. Its totient is φ = 3317760.

The previous prime is 10319677. The next prime is 10319681. The reversal of 10319680 is 8691301.

It is a happy number.

10319680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10319681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37945 + ... + 38215.

Almost surely, 2^10319680 is an apocalyptic number.

10319680 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 10319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14923008).

10319680 is an abundant number, since it is smaller than the sum of its proper divisors (19526336).

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

10319680 is a wasteful number, since it uses less digits than its factorization.

10319680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 302 counting only the distinct ones).

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

The square root of 10319680 is about 3212.4258746312. The cubic root of 10319680 is about 217.7151963578.

The spelling of 10319680 in words is "ten million, three hundred nineteen thousand, six hundred eighty".