10411680 has 96 divisors (see below), whose sum is σ = 33264000. Its totient is φ = 2737152.

The previous prime is 10411679. The next prime is 10411697. The reversal of 10411680 is 8611401.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52221 + ... + 52419.

It is an arithmetic number, because the mean of its divisors is an integer number (346500).

Almost surely, 2^10411680 is an apocalyptic number.

10411680 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 10411680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16632000).

10411680 is an abundant number, since it is smaller than the sum of its proper divisors (22852320).

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

10411680 is a wasteful number, since it uses less digits than its factorization.

10411680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 10411680 is about 3226.7134982827. The cubic root of 10411680 is about 218.3602605848.

It can be divided in two parts, 104116 and 80, that added together give a triangular number (104196 = T₄₅₆).

The spelling of 10411680 in words is "ten million, four hundred eleven thousand, six hundred eighty".