1040416 has 48 divisors (see below), whose sum is σ = 2296728. Its totient is φ = 460800.

The previous prime is 1040411. The next prime is 1040419. The reversal of 1040416 is 6140401.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 156816 + 883600 = 396^2 + 940^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a self number, because there is not a number n which added to its sum of digits gives 1040416.

It is not an unprimeable number, because it can be changed into a prime (1040411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17026 + ... + 17086.

2^1040416 is an apocalyptic number.

1040416 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 1040416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148364).

1040416 is an abundant number, since it is smaller than the sum of its proper divisors (1256312).

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

1040416 is a wasteful number, since it uses less digits than its factorization.

1040416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1040416 is about 1020.0078431071. The cubic root of 1040416 is about 101.3294473733.

Subtracting from 1040416 its sum of digits (16), we obtain a square (1040400 = 1020²).

Adding to 1040416 its reverse (6140401), we get a palindrome (7180817).

It can be divided in two parts, 10404 and 16, that multiplied together give a square (166464 = 408²).

The spelling of 1040416 in words is "one million, forty thousand, four hundred sixteen".