1079822016 has 504 divisors, whose sum is σ = 4057893840. Its totient is φ = 282175488.

The previous prime is 1079821999. The next prime is 1079822017. The reversal of 1079822016 is 6102289701.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is not an unprimeable number, because it can be changed into a prime (1079822017) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 9906570 + ... + 9906678.

Almost surely, 2^1079822016 is an apocalyptic number.

1079822016 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 1079822016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2028946920).

1079822016 is an abundant number, since it is smaller than the sum of its proper divisors (2978071824).

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

1079822016 is a wasteful number, since it uses less digits than its factorization.

1079822016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1079822016 is about 32860.6453984093. The cubic root of 1079822016 is about 1025.9292041024.

The spelling of 1079822016 in words is "one billion, seventy-nine million, eight hundred twenty-two thousand, sixteen".