2238768 has 60 divisors (see below), whose sum is σ = 7163728. Its totient is φ = 639360.

The previous prime is 2238767. The next prime is 2238779. The reversal of 2238768 is 8678322.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 2¹⁵ + 2¹⁹ + 3⁶ + 8³ + 7³ + 6⁸ + 8³ .

It is not an unprimeable number, because it can be changed into a prime (2238763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103 + ... + 2118.

2^2238768 is an apocalyptic number.

2238768 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 2238768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3581864).

2238768 is an abundant number, since it is smaller than the sum of its proper divisors (4924960).

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

2238768 is a wasteful number, since it uses less digits than its factorization.

2238768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2242 (or 2233 counting only the distinct ones).

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

The square root of 2238768 is about 1496.2513157889. The cubic root of 2238768 is about 130.8186601888.

The spelling of 2238768 in words is "two million, two hundred thirty-eight thousand, seven hundred sixty-eight".