1026264330 has 504 divisors, whose sum is σ = 3693950892. Its totient is φ = 203793408.

The previous prime is 1026264329. The next prime is 1026264391. The reversal of 1026264330 is 334626201.

1026264330 is a `hidden beast` number, since 1 + 0 + 2 + 626 + 4 + 3 + 30 = 666.

1026264330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 211789809 + 814474521 = 14553^2 + 28539^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1026264294 and 1026264303.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 60368482 + ... + 60368498.

Almost surely, 2^1026264330 is an apocalyptic number.

1026264330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1026264330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1846975446).

1026264330 is an abundant number, since it is smaller than the sum of its proper divisors (2667686562).

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

1026264330 is a wasteful number, since it uses less digits than its factorization.

1026264330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 1026264330 is about 32035.3606191658. The cubic root of 1026264330 is about 1008.6792297057.

It can be divided in two parts, 1026 and 264330, that added together give a triangular number (265356 = T₇₂₈).

The spelling of 1026264330 in words is "one billion, twenty-six million, two hundred sixty-four thousand, three hundred thirty".