1026822720 has 448 divisors, whose sum is σ = 4213555200. Its totient is φ = 205578240.

The previous prime is 1026822653. The next prime is 1026822733. The reversal of 1026822720 is 272286201.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2143441 + ... + 2143919.

Almost surely, 2^1026822720 is an apocalyptic number.

1026822720 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 1026822720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2106777600).

1026822720 is an abundant number, since it is smaller than the sum of its proper divisors (3186732480).

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

1026822720 is a wasteful number, since it uses less digits than its factorization.

1026822720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 1026822720 is about 32044.0746472729. The cubic root of 1026822720 is about 1008.8621371878.

The spelling of 1026822720 in words is "one billion, twenty-six million, eight hundred twenty-two thousand, seven hundred twenty".