2783664 has 60 divisors (see below), whose sum is σ = 8395296. Its totient is φ = 855936.

The previous prime is 2783663. The next prime is 2783687. The reversal of 2783664 is 4663872.

2783664 is digitally balanced in base 2 and base 5, because in such bases 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 an Ulam number.

It is a d-powerful number, because it can be written as 2⁵ + 7⁷ + 8³ + 3² + 6⁷ + 6⁸ + 4² .

It is not an unprimeable number, because it can be changed into a prime (2783663) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1129 + ... + 2615.

2^2783664 is an apocalyptic number.

2783664 is a gapful number since it is divisible by the number (24) 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 2783664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4197648).

2783664 is an abundant number, since it is smaller than the sum of its proper divisors (5611632).

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

2783664 is a wasteful number, since it uses less digits than its factorization.

2783664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1514 (or 1505 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 2783664 is about 1668.4315988377. The cubic root of 2783664 is about 140.6713334730.

The spelling of 2783664 in words is "two million, seven hundred eighty-three thousand, six hundred sixty-four".