2677668 has 48 divisors (see below), whose sum is σ = 7225344. Its totient is φ = 756000.

The previous prime is 2677643. The next prime is 2677673. The reversal of 2677668 is 8667762.

2677668 is digitally balanced in base 2, 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 (42).

Its product of digits (169344) is a multiple of the sum of its prime factors (392).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10543 + ... + 10793.

It is an arithmetic number, because the mean of its divisors is an integer number (150528).

2^2677668 is an apocalyptic number.

2677668 is a gapful number since it is divisible by the number (28) 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 2677668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3612672).

2677668 is an abundant number, since it is smaller than the sum of its proper divisors (4547676).

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

2677668 is a wasteful number, since it uses less digits than its factorization.

2677668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 390 counting only the distinct ones).

The product of its digits is 169344, while the sum is 42.

The square root of 2677668 is about 1636.3581515060. The cubic root of 2677668 is about 138.8626906912.

The spelling of 2677668 in words is "two million, six hundred seventy-seven thousand, six hundred sixty-eight".