1026264300 has 144 divisors (see below), whose sum is σ = 3088468992. Its totient is φ = 262828800.

The previous prime is 1026264299. The next prime is 1026264307. The reversal of 1026264300 is 34626201.

It is not an unprimeable number, because it can be changed into a prime (1026264307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1515562 + ... + 1516238.

Almost surely, 2^1026264300 is an apocalyptic number.

1026264300 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 1026264300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544234496).

1026264300 is an abundant number, since it is smaller than the sum of its proper divisors (2062204692).

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

1026264300 is a wasteful number, since it uses less digits than its factorization.

1026264300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 1026264300 is about 32035.3601509332. The cubic root of 1026264300 is about 1008.6792198771.

The spelling of 1026264300 in words is "one billion, twenty-six million, two hundred sixty-four thousand, three hundred".