6677600 has 72 divisors (see below), whose sum is σ = 17295768. Its totient is φ = 2508800.

The previous prime is 6677597. The next prime is 6677611. The reversal of 6677600 is 67766.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 13355 + ... + 13845.

It is an arithmetic number, because the mean of its divisors is an integer number (240219).

Almost surely, 2^6677600 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 6677600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8647884).

6677600 is an abundant number, since it is smaller than the sum of its proper divisors (10618168).

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

6677600 is a wasteful number, since it uses less digits than its factorization.

6677600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 32.

The square root of 6677600 is about 2584.1052610140. The cubic root of 6677600 is about 188.3100361885.

It can be divided in two parts, 66 and 77600, that multiplied together give a triangular number (5121600 = T₃₂₀₀).

The spelling of 6677600 in words is "six million, six hundred seventy-seven thousand, six hundred".