10416384 has 144 divisors (see below), whose sum is σ = 33848640. Its totient is φ = 3133440.

The previous prime is 10416383. The next prime is 10416397. The reversal of 10416384 is 48361401.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×10416384³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10416383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75964 + ... + 76100.

It is an arithmetic number, because the mean of its divisors is an integer number (235060).

Almost surely, 2^10416384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10416384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16924320).

10416384 is an abundant number, since it is smaller than the sum of its proper divisors (23432256).

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

10416384 is a wasteful number, since it uses less digits than its factorization.

10416384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 10416384 is about 3227.4423310107. The cubic root of 10416384 is about 218.3931407096.

Adding to 10416384 its reverse (48361401), we get a palindrome (58777785).

The spelling of 10416384 in words is "ten million, four hundred sixteen thousand, three hundred eighty-four".