1067312064 has 336 divisors, whose sum is σ = 3617415168. Its totient is φ = 271724544.

The previous prime is 1067312047. The next prime is 1067312083. The reversal of 1067312064 is 4602137601.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×1067312064² = 2278310083919880192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8403969 + ... + 8404095.

Almost surely, 2^1067312064 is an apocalyptic number.

1067312064 is a gapful number since it is divisible by the number (14) 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 1067312064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1808707584).

1067312064 is an abundant number, since it is smaller than the sum of its proper divisors (2550103104).

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

1067312064 is a wasteful number, since it uses less digits than its factorization.

1067312064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 1067312064 is about 32669.7423313989. The cubic root of 1067312064 is about 1021.9519408367.

Adding to 1067312064 its reverse (4602137601), we get a palindrome (5669449665).

The spelling of 1067312064 in words is "one billion, sixty-seven million, three hundred twelve thousand, sixty-four".