1826284320 has 480 divisors, whose sum is σ = 7561040256. Its totient is φ = 406425600.

The previous prime is 1826284301. The next prime is 1826284333. The reversal of 1826284320 is 234826281.

1826284320 is a `hidden beast` number, since 1 + 8 + 2 + 628 + 4 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3719275 + ... + 3719765.

Almost surely, 2^1826284320 is an apocalyptic number.

1826284320 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 1826284320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3780520128).

1826284320 is an abundant number, since it is smaller than the sum of its proper divisors (5734755936).

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

1826284320 is a wasteful number, since it uses less digits than its factorization.

1826284320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1826284320 is about 42735.0479115211. The cubic root of 1826284320 is about 1222.3327935717.

It can be divided in two parts, 1826 and 284320, that added together give a triangular number (286146 = T₇₅₆).

The spelling of 1826284320 in words is "one billion, eight hundred twenty-six million, two hundred eighty-four thousand, three hundred twenty".