6690816 has 144 divisors (see below), whose sum is σ = 21785400. Its totient is φ = 2027520.

The previous prime is 6690797. The next prime is 6690829. The reversal of 6690816 is 6180966.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 608251 + ... + 608261.

Almost surely, 2^6690816 is an apocalyptic number.

6690816 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 6690816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10892700).

6690816 is an abundant number, since it is smaller than the sum of its proper divisors (15094584).

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

6690816 is a wasteful number, since it uses less digits than its factorization.

6690816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 6690816 is about 2586.6611683790. The cubic root of 6690816 is about 188.4341858530.

The spelling of 6690816 in words is "six million, six hundred ninety thousand, eight hundred sixteen".