1026306000 has 480 divisors, whose sum is σ = 3898821888. Its totient is φ = 250905600.

The previous prime is 1026305921. The next prime is 1026306013. The reversal of 1026306000 is 6036201.

It is a happy number.

1026306000 is a `hidden beast` number, since 1 + 0 + 2 + 63 + 0 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15317967 + ... + 15318033.

Almost surely, 2^1026306000 is an apocalyptic number.

1026306000 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 1026306000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1949410944).

1026306000 is an abundant number, since it is smaller than the sum of its proper divisors (2872515888).

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

1026306000 is a wasteful number, since it uses less digits than its factorization.

1026306000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1026306000 is about 32036.0109876370. The cubic root of 1026306000 is about 1008.6928815150.

The spelling of 1026306000 in words is "one billion, twenty-six million, three hundred six thousand".