1826166000 has 320 divisors, whose sum is σ = 6304596480. Its totient is φ = 453427200.

The previous prime is 1826165977. The next prime is 1826166007. The reversal of 1826166000 is 6616281.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1826166007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9461904 + ... + 9462096.

It is an arithmetic number, because the mean of its divisors is an integer number (19701864).

Almost surely, 2^1826166000 is an apocalyptic number.

1826166000 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 1826166000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3152298240).

1826166000 is an abundant number, since it is smaller than the sum of its proper divisors (4478430480).

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

1826166000 is a wasteful number, since it uses less digits than its factorization.

1826166000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 1826166000 is about 42733.6635452660. The cubic root of 1826166000 is about 1222.3063957946.

The spelling of 1826166000 in words is "one billion, eight hundred twenty-six million, one hundred sixty-six thousand".