10416959 has 24 divisors (see below), whose sum is σ = 13023360. Its totient is φ = 8282736.

The previous prime is 10416929. The next prime is 10416977. The reversal of 10416959 is 95961401.

10416959 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10416959 - 2¹² = 10412863 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10416929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62294 + ... + 62460.

It is an arithmetic number, because the mean of its divisors is an integer number (542640).

Almost surely, 2^10416959 is an apocalyptic number.

10416959 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

10416959 is a deficient number, since it is larger than the sum of its proper divisors (2606401).

10416959 is a wasteful number, since it uses less digits than its factorization.

10416959 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 35.

The square root of 10416959 is about 3227.5314096070. The cubic root of 10416959 is about 218.3971591785.

It can be divided in two parts, 1041 and 6959, that added together give a cube (8000 = 20³).

The spelling of 10416959 in words is "ten million, four hundred sixteen thousand, nine hundred fifty-nine".