1826160 has 80 divisors (see below), whose sum is σ = 6475776. Its totient is φ = 417024.

The previous prime is 1826141. The next prime is 1826161. The reversal of 1826160 is 616281.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1826160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1826161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1137 + ... + 2223.

2^1826160 is an apocalyptic number.

1826160 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 1826160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3237888).

1826160 is an abundant number, since it is smaller than the sum of its proper divisors (4649616).

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

1826160 is a wasteful number, since it uses less digits than its factorization.

1826160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1826160 is about 1351.3548756711. The cubic root of 1826160 is about 122.2305057135.

The spelling of 1826160 in words is "one million, eight hundred twenty-six thousand, one hundred sixty".