1846880 has 96 divisors (see below), whose sum is σ = 5334336. Its totient is φ = 589824.

The previous prime is 1846879. The next prime is 1846903. The reversal of 1846880 is 886481.

It is a Cunningham number, because it is equal to 1359²-1.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 1846880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18992 + ... + 19088.

It is an arithmetic number, because the mean of its divisors is an integer number (55566).

2^1846880 is an apocalyptic number.

1846880 is a gapful number since it is divisible by the number (10) 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 1846880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2667168).

1846880 is an abundant number, since it is smaller than the sum of its proper divisors (3487456).

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

1846880 is a wasteful number, since it uses less digits than its factorization.

1846880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The square root of 1846880 is about 1358.9996320824. Note that the first 3 decimals coincide. The cubic root of 1846880 is about 122.6910527027.

The spelling of 1846880 in words is "one million, eight hundred forty-six thousand, eight hundred eighty".