10416288 has 24 divisors (see below), whose sum is σ = 27343008. Its totient is φ = 3472064.

The previous prime is 10416283. The next prime is 10416311. The reversal of 10416288 is 88261401.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (10416283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 54156 + ... + 54347.

It is an arithmetic number, because the mean of its divisors is an integer number (1139292).

Almost surely, 2^10416288 is an apocalyptic number.

It is an amenable number.

10416288 is an abundant number, since it is smaller than the sum of its proper divisors (16926720).

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

10416288 is a wasteful number, since it uses less digits than its factorization.

10416288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108516 (or 108508 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 10416288 is about 3227.4274585186. The cubic root of 10416288 is about 218.3924697856.

Adding to 10416288 its reverse (88261401), we get a palindrome (98677689).

The spelling of 10416288 in words is "ten million, four hundred sixteen thousand, two hundred eighty-eight".