6877620 has 72 divisors (see below), whose sum is σ = 21971040. Its totient is φ = 1736640.

The previous prime is 6877613. The next prime is 6877649. The reversal of 6877620 is 267786.

6877620 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2415 + ... + 4425.

Almost surely, 2^6877620 is an apocalyptic number.

6877620 is a gapful number since it is divisible by the number (60) 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 6877620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10985520).

6877620 is an abundant number, since it is smaller than the sum of its proper divisors (15093420).

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

6877620 is a wasteful number, since it uses less digits than its factorization.

6877620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2045 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 6877620 is about 2622.5216872316. The cubic root of 6877620 is about 190.1717744805.

The spelling of 6877620 in words is "six million, eight hundred seventy-seven thousand, six hundred twenty".