10415680 has 84 divisors (see below), whose sum is σ = 27363420. Its totient is φ = 3773440.

The previous prime is 10415663. The next prime is 10415693. The reversal of 10415680 is 8651401.

10415680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1982464 + 8433216 = 1408^2 + 2904^2 .

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, 38586 + ... + 38854.

It is an arithmetic number, because the mean of its divisors is an integer number (325755).

Almost surely, 2^10415680 is an apocalyptic number.

10415680 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 10415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13681710).

10415680 is an abundant number, since it is smaller than the sum of its proper divisors (16947740).

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

10415680 is a wasteful number, since it uses less digits than its factorization.

10415680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 10415680 is about 3227.3332644770. Note that the first 3 decimals coincide. The cubic root of 10415680 is about 218.3882205045.

The spelling of 10415680 in words is "ten million, four hundred fifteen thousand, six hundred eighty".