10384416 has 192 divisors, whose sum is σ = 37013760. Its totient is φ = 2764800.

The previous prime is 10384403. The next prime is 10384459. The reversal of 10384416 is 61448301.

It is a super-2 number, since 2×10384416² = 215672191322112, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10384416.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102766 + ... + 102866.

It is an arithmetic number, because the mean of its divisors is an integer number (192780).

Almost surely, 2^10384416 is an apocalyptic number.

10384416 is a gapful number since it is divisible by the number (16) 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 10384416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18506880).

10384416 is an abundant number, since it is smaller than the sum of its proper divisors (26629344).

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

10384416 is a wasteful number, since it uses less digits than its factorization.

10384416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 130 counting only the distinct ones).

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

The square root of 10384416 is about 3222.4859968664. The cubic root of 10384416 is about 218.1694947585.

The spelling of 10384416 in words is "ten million, three hundred eighty-four thousand, four hundred sixteen".