1882368 has 108 divisors (see below), whose sum is σ = 5845840. Its totient is φ = 580608.

The previous prime is 1882367. The next prime is 1882369. The reversal of 1882368 is 8632881.

It is an interprime number because it is at equal distance from previous prime (1882367) and next prime (1882369).

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 not an unprimeable number, because it can be changed into a prime (1882367) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43755 + ... + 43797.

2^1882368 is an apocalyptic number.

1882368 is a gapful number since it is divisible by the number (18) 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 1882368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2922920).

1882368 is an abundant number, since it is smaller than the sum of its proper divisors (3963472).

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

1882368 is a wasteful number, since it uses less digits than its factorization.

1882368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 67 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 1882368 is about 1371.9941690838. The cubic root of 1882368 is about 123.4719130564.

It can be divided in two parts, 188 and 2368, that added together give a triangular number (2556 = T₇₁).

The spelling of 1882368 in words is "one million, eight hundred eighty-two thousand, three hundred sixty-eight".