1846368 has 48 divisors (see below), whose sum is σ = 5387760. Its totient is φ = 615168.

The previous prime is 1846367. The next prime is 1846373. The reversal of 1846368 is 8636481.

It is a happy number.

1846368 is a `hidden beast` number, since 18 + 4 + 636 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (1846367) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 205 + ... + 1932.

It is an arithmetic number, because the mean of its divisors is an integer number (112245).

2^1846368 is an apocalyptic number.

1846368 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 1846368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2693880).

1846368 is an abundant number, since it is smaller than the sum of its proper divisors (3541392).

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

1846368 is a wasteful number, since it uses less digits than its factorization.

1846368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2156 (or 2142 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 1846368 is about 1358.8112451698. The cubic root of 1846368 is about 122.6797140081.

The spelling of 1846368 in words is "one million, eight hundred forty-six thousand, three hundred sixty-eight".