1022268720 has 160 divisors (see below), whose sum is σ = 3485491200. Its totient is φ = 245790720.

The previous prime is 1022268661. The next prime is 1022268733. The reversal of 1022268720 is 278622201.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 333756 + ... + 336804.

It is an arithmetic number, because the mean of its divisors is an integer number (21784320).

Almost surely, 2^1022268720 is an apocalyptic number.

1022268720 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 1022268720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1742745600).

1022268720 is an abundant number, since it is smaller than the sum of its proper divisors (2463222480).

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

1022268720 is a wasteful number, since it uses less digits than its factorization.

1022268720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3203 (or 3197 counting only the distinct ones).

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

The square root of 1022268720 is about 31972.9373064159. The cubic root of 1022268720 is about 1007.3684788305.

The spelling of 1022268720 in words is "one billion, twenty-two million, two hundred sixty-eight thousand, seven hundred twenty".