1842768 has 60 divisors (see below), whose sum is σ = 5261568. Its totient is φ = 601920.

The previous prime is 1842767. The next prime is 1842769. The reversal of 1842768 is 8672481.

1842768 = T₃₂ + T₃₃ + ... + T₂₂₂.

It is an interprime number because it is at equal distance from previous prime (1842767) and next prime (1842769).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1842767) 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, 9553 + ... + 9743.

2^1842768 is an apocalyptic number.

1842768 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 1842768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2630784).

1842768 is an abundant number, since it is smaller than the sum of its proper divisors (3418800).

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

1842768 is a wasteful number, since it uses less digits than its factorization.

1842768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 263 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 1842768 is about 1357.4859115291. The cubic root of 1842768 is about 122.5999295666.

The spelling of 1842768 in words is "one million, eight hundred forty-two thousand, seven hundred sixty-eight".