2768832 has 168 divisors, whose sum is σ = 9509760. Its totient is φ = 760320.

The previous prime is 2768819. The next prime is 2768863. The reversal of 2768832 is 2388672.

It is a happy number.

2768832 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 (36).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 120373 + ... + 120395.

2^2768832 is an apocalyptic number.

2768832 is a gapful number since it is divisible by the number (22) 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 2768832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4754880).

2768832 is an abundant number, since it is smaller than the sum of its proper divisors (6740928).

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

2768832 is a wasteful number, since it uses less digits than its factorization.

2768832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 58 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 2768832 is about 1663.9807691196. The cubic root of 2768832 is about 140.4210453757.

It can be divided in two parts, 2768 and 832, that added together give a square (3600 = 60²).

The spelling of 2768832 in words is "two million, seven hundred sixty-eight thousand, eight hundred thirty-two".