1036568064 has 320 divisors, whose sum is σ = 3436494336. Its totient is φ = 270925824.

The previous prime is 1036568063. The next prime is 1036568069. The reversal of 1036568064 is 4608656301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1036568063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9687499 + ... + 9687605.

Almost surely, 2^1036568064 is an apocalyptic number.

1036568064 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 1036568064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718247168).

1036568064 is an abundant number, since it is smaller than the sum of its proper divisors (2399926272).

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

1036568064 is a wasteful number, since it uses less digits than its factorization.

1036568064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 1036568064 is about 32195.7771143981. Note that the first 3 decimals coincide. The cubic root of 1036568064 is about 1012.0437211292.

The spelling of 1036568064 in words is "one billion, thirty-six million, five hundred sixty-eight thousand, sixty-four".