1026364800 has 384 divisors, whose sum is σ = 3779222400. Its totient is φ = 243302400.

The previous prime is 1026364753. The next prime is 1026364813. The reversal of 1026364800 is 84636201.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3100635 + ... + 3100965.

It is an arithmetic number, because the mean of its divisors is an integer number (9841725).

Almost surely, 2^1026364800 is an apocalyptic number.

1026364800 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 1026364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1889611200).

1026364800 is an abundant number, since it is smaller than the sum of its proper divisors (2752857600).

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

1026364800 is a wasteful number, since it uses less digits than its factorization.

1026364800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 1026364800 is about 32036.9286917457. The cubic root of 1026364800 is about 1008.7121447785.

The spelling of 1026364800 in words is "one billion, twenty-six million, three hundred sixty-four thousand, eight hundred".