1826856000 has 168 divisors, whose sum is σ = 6535225944. Its totient is φ = 487142400.

The previous prime is 1826855959. The next prime is 1826856001. The reversal of 1826856000 is 6586281.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 510037056 + 1316818944 = 22584^2 + 36288^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1826856001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59314 + ... + 84686.

Almost surely, 2^1826856000 is an apocalyptic number.

1826856000 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 1826856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3267612972).

1826856000 is an abundant number, since it is smaller than the sum of its proper divisors (4708369944).

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

1826856000 is a wasteful number, since it uses less digits than its factorization.

1826856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25406 (or 25383 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1826856000 is about 42741.7360433570. The cubic root of 1826856000 is about 1222.4603221468.

The spelling of 1826856000 in words is "one billion, eight hundred twenty-six million, eight hundred fifty-six thousand".