1026844000 has 432 divisors, whose sum is σ = 3280507776. Its totient is φ = 314496000.

The previous prime is 1026843973. The next prime is 1026844001. The reversal of 1026844000 is 4486201.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1026844001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33123985 + ... + 33124015.

It is an arithmetic number, because the mean of its divisors is an integer number (7593768).

Almost surely, 2^1026844000 is an apocalyptic number.

1026844000 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 1026844000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640253888).

1026844000 is an abundant number, since it is smaller than the sum of its proper divisors (2253663776).

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

1026844000 is a wasteful number, since it uses less digits than its factorization.

1026844000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 1026844000 is about 32044.4066882194. The cubic root of 1026844000 is about 1008.8691064006.

The spelling of 1026844000 in words is "one billion, twenty-six million, eight hundred forty-four thousand".