1826880 has 112 divisors (see below), whose sum is σ = 6364224. Its totient is φ = 440320.

The previous prime is 1826879. The next prime is 1826887. The reversal of 1826880 is 886281.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1826887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10474 + ... + 10646.

2^1826880 is an apocalyptic number.

1826880 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 1826880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3182112).

1826880 is an abundant number, since it is smaller than the sum of its proper divisors (4537344).

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

1826880 is a wasteful number, since it uses less digits than its factorization.

1826880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 1826880 is about 1351.6212487232. The cubic root of 1826880 is about 122.2465675409.

The spelling of 1826880 in words is "one million, eight hundred twenty-six thousand, eight hundred eighty".