1065006656 has 56 divisors (see below), whose sum is σ = 2418868416. Its totient is φ = 455754240.

The previous prime is 1065006653. The next prime is 1065006661. The reversal of 1065006656 is 6566005601.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×1065006656² = 2268478354648604672, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1065006653) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 405026 + ... + 407646.

Almost surely, 2^1065006656 is an apocalyptic number.

1065006656 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 1065006656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209434208).

1065006656 is an abundant number, since it is smaller than the sum of its proper divisors (1353861760).

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

1065006656 is an equidigital number, since it uses as much as digits as its factorization.

1065006656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3547 (or 3537 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 35.

The square root of 1065006656 is about 32634.4397224772. The cubic root of 1065006656 is about 1021.2156005666.

The spelling of 1065006656 in words is "one billion, sixty-five million, six thousand, six hundred fifty-six".