1540416 has 56 divisors (see below), whose sum is σ = 4169664. Its totient is φ = 501760.

The previous prime is 1540403. The next prime is 1540423. The reversal of 1540416 is 6140451.

It is a junction number, because it is equal to n+sod(n) for n = 1540392 and 1540401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13576 + ... + 13688.

2^1540416 is an apocalyptic number.

1540416 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 1540416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2084832).

1540416 is an abundant number, since it is smaller than the sum of its proper divisors (2629248).

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

1540416 is a wasteful number, since it uses less digits than its factorization.

1540416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1540416 is about 1241.1349644579. The cubic root of 1540416 is about 115.4904322953.

Adding to 1540416 its reverse (6140451), we get a palindrome (7680867).

The spelling of 1540416 in words is "one million, five hundred forty thousand, four hundred sixteen".