6565416 has 64 divisors (see below), whose sum is σ = 19293120. Its totient is φ = 1835520.

The previous prime is 6565411. The next prime is 6565421. The reversal of 6565416 is 6145656.

It is an interprime number because it is at equal distance from previous prime (6565411) and next prime (6565421).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (6565411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2476 + ... + 4388.

It is an arithmetic number, because the mean of its divisors is an integer number (301455).

Almost surely, 2^6565416 is an apocalyptic number.

6565416 is a gapful number since it is divisible by the number (66) 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 6565416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9646560).

6565416 is an abundant number, since it is smaller than the sum of its proper divisors (12727704).

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

6565416 is a wasteful number, since it uses less digits than its factorization.

6565416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946 (or 1942 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

The square root of 6565416 is about 2562.3067732026. The cubic root of 6565416 is about 187.2495357988.

The spelling of 6565416 in words is "six million, five hundred sixty-five thousand, four hundred sixteen".