1022668416 has 576 divisors, whose sum is σ = 3936310560. Its totient is φ = 261273600.

The previous prime is 1022668397. The next prime is 1022668433. The reversal of 1022668416 is 6148662201.

1022668416 is a `hidden beast` number, since 10 + 226 + 6 + 8 + 416 = 666.

1022668416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16765026 + ... + 16765086.

Almost surely, 2^1022668416 is an apocalyptic number.

1022668416 is a gapful number since it is divisible by the number (16) 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 1022668416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1968155280).

1022668416 is an abundant number, since it is smaller than the sum of its proper divisors (2913642144).

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

1022668416 is an equidigital number, since it uses as much as digits as its factorization.

1022668416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1022668416 is about 31979.1872316981. The cubic root of 1022668416 is about 1007.4997517789.

The spelling of 1022668416 in words is "one billion, twenty-two million, six hundred sixty-eight thousand, four hundred sixteen".