6678100 has 72 divisors (see below), whose sum is σ = 17061408. Its totient is φ = 2236800.

The previous prime is 6678079. The next prime is 6678109. The reversal of 6678100 is 18766.

It is a super-2 number, since 2×6678100² = 89194039220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6678109) 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, 14067 + ... + 14533.

It is an arithmetic number, because the mean of its divisors is an integer number (236964).

Almost surely, 2^6678100 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 6678100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8530704).

6678100 is an abundant number, since it is smaller than the sum of its proper divisors (10383308).

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

6678100 is a wasteful number, since it uses less digits than its factorization.

6678100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 6678100 is about 2584.2020044880. The cubic root of 6678100 is about 188.3147361141.

The spelling of 6678100 in words is "six million, six hundred seventy-eight thousand, one hundred".