10416960 has 84 divisors (see below), whose sum is σ = 35839908. Its totient is φ = 2777088.

The previous prime is 10416929. The next prime is 10416977. The reversal of 10416960 is 6961401.

10416960 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 1272384 + 9144576 = 1128^2 + 3024^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 1072 + ... + 4688.

Almost surely, 2^10416960 is an apocalyptic number.

10416960 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 10416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17919954).

10416960 is an abundant number, since it is smaller than the sum of its proper divisors (25422948).

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

10416960 is a wasteful number, since it uses less digits than its factorization.

10416960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3640 (or 3627 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 10416960 is about 3227.5315645242. The cubic root of 10416960 is about 218.3971661670.

It can be divided in two parts, 1041 and 6960, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 10416960 in words is "ten million, four hundred sixteen thousand, nine hundred sixty".