5785416 has 96 divisors (see below), whose sum is σ = 19306560. Its totient is φ = 1524096.

The previous prime is 5785411. The next prime is 5785421. The reversal of 5785416 is 6145875.

It is an interprime number because it is at equal distance from previous prime (5785411) and next prime (5785421).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5785411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6111 + ... + 6993.

It is an arithmetic number, because the mean of its divisors is an integer number (201110).

Almost surely, 2^5785416 is an apocalyptic number.

5785416 is a gapful number since it is divisible by the number (56) 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 5785416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9653280).

5785416 is an abundant number, since it is smaller than the sum of its proper divisors (13521144).

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

5785416 is a wasteful number, since it uses less digits than its factorization.

5785416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 908 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 5785416 is about 2405.2891718045. The cubic root of 5785416 is about 179.5194589954.

The spelling of 5785416 in words is "five million, seven hundred eighty-five thousand, four hundred sixteen".