10412960 has 48 divisors (see below), whose sum is σ = 24820992. Its totient is φ = 4128000.

The previous prime is 10412933. The next prime is 10412971. The reversal of 10412960 is 6921401.

It is a happy number.

10412960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23945 + ... + 24375.

It is an arithmetic number, because the mean of its divisors is an integer number (517104).

Almost surely, 2^10412960 is an apocalyptic number.

10412960 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 10412960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12410496).

10412960 is an abundant number, since it is smaller than the sum of its proper divisors (14408032).

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

10412960 is a wasteful number, since it uses less digits than its factorization.

10412960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 10412960 is about 3226.9118364157. The cubic root of 10412960 is about 218.3692085381.

The spelling of 10412960 in words is "ten million, four hundred twelve thousand, nine hundred sixty".