5740416 has 128 divisors (see below), whose sum is σ = 18604800. Its totient is φ = 1728000.

The previous prime is 5740393. The next prime is 5740417. The reversal of 5740416 is 6140475.

It is a tau number, because it is divible by the number of its divisors (128).

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 5740416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5740417) 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 15 ways as a sum of consecutive naturals, for example, 37941 + ... + 38091.

It is an arithmetic number, because the mean of its divisors is an integer number (145350).

Almost surely, 2^5740416 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 5740416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9302400).

5740416 is an abundant number, since it is smaller than the sum of its proper divisors (12864384).

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

5740416 is a wasteful number, since it uses less digits than its factorization.

5740416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 5740416 is about 2395.9165260918. The cubic root of 5740416 is about 179.0528021666.

The spelling of 5740416 in words is "five million, seven hundred forty thousand, four hundred sixteen".