1022668920 has 768 divisors, whose sum is σ = 4528742400. Its totient is φ = 194088960.

The previous prime is 1022668909. The next prime is 1022668943. The reversal of 1022668920 is 298662201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19295614 + ... + 19295666.

It is an arithmetic number, because the mean of its divisors is an integer number (5896800).

Almost surely, 2^1022668920 is an apocalyptic number.

1022668920 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 1022668920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2264371200).

1022668920 is an abundant number, since it is smaller than the sum of its proper divisors (3506073480).

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

1022668920 is a wasteful number, since it uses less digits than its factorization.

1022668920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1022668920 is about 31979.1951118223. The cubic root of 1022668920 is about 1007.4999172870.

The spelling of 1022668920 in words is "one billion, twenty-two million, six hundred sixty-eight thousand, nine hundred twenty".