2827656 has 128 divisors (see below), whose sum is σ = 9072000. Its totient is φ = 808704.

The previous prime is 2827639. The next prime is 2827667. The reversal of 2827656 is 6567282.

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

It is a d-powerful number, because it can be written as 2⁶ + 8 + 2¹⁸ + 7⁷ + 6⁶ + 5⁶ + 6⁸ .

Its product of digits (40320) is a multiple of the sum of its prime divisors (90).

It is a self number, because there is not a number n which added to its sum of digits gives 2827656.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53326 + ... + 53378.

It is an arithmetic number, because the mean of its divisors is an integer number (70875).

2^2827656 is an apocalyptic number.

2827656 is a gapful number since it is divisible by the number (26) 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 2827656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4536000).

2827656 is an abundant number, since it is smaller than the sum of its proper divisors (6244344).

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

2827656 is a wasteful number, since it uses less digits than its factorization.

2827656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 90 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 2827656 is about 1681.5635581208. The cubic root of 2827656 is about 141.4085029901.

The spelling of 2827656 in words is "two million, eight hundred twenty-seven thousand, six hundred fifty-six".