1067284096 has 48 divisors (see below), whose sum is σ = 2148497910. Its totient is φ = 528109568.

The previous prime is 1067284063. The next prime is 1067284103. The reversal of 1067284096 is 6904827601.

It can be written as a sum of positive squares in 3 ways, for example, as 150405696 + 916878400 = 12264^2 + 30280^2 .

It is a super-2 number, since 2×1067284096² = 2278190683149074432, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1634106 + ... + 1634758.

Almost surely, 2^1067284096 is an apocalyptic number.

1067284096 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 1067284096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074248955).

1067284096 is an abundant number, since it is smaller than the sum of its proper divisors (1081213814).

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

1067284096 is an frugal number, since it uses more digits than its factorization.

1067284096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The square root of 1067284096 is about 32669.3142872635. The cubic root of 1067284096 is about 1021.9430142998.

The spelling of 1067284096 in words is "one billion, sixty-seven million, two hundred eighty-four thousand, ninety-six".