6736416 has 48 divisors (see below), whose sum is σ = 18071424. Its totient is φ = 2196224.

The previous prime is 6736361. The next prime is 6736417. The reversal of 6736416 is 6146376.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6736417) 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, 3766 + ... + 5258.

It is an arithmetic number, because the mean of its divisors is an integer number (376488).

Almost surely, 2^6736416 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 6736416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9035712).

6736416 is an abundant number, since it is smaller than the sum of its proper divisors (11335008).

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

6736416 is a wasteful number, since it uses less digits than its factorization.

6736416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553 (or 1545 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

The square root of 6736416 is about 2595.4606527551. The cubic root of 6736416 is about 188.8612962899.

The spelling of 6736416 in words is "six million, seven hundred thirty-six thousand, four hundred sixteen".