1075313664 has 352 divisors, whose sum is σ = 3537216000. Its totient is φ = 321159168.

The previous prime is 1075313651. The next prime is 1075313669. The reversal of 1075313664 is 4663135701.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1075313669) 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 31 ways as a sum of consecutive naturals, for example, 12082132 + ... + 12082220.

Almost surely, 2^1075313664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1075313664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1768608000).

1075313664 is an abundant number, since it is smaller than the sum of its proper divisors (2461902336).

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

1075313664 is a wasteful number, since it uses less digits than its factorization.

1075313664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 1075313664 is about 32791.9756037967. The cubic root of 1075313664 is about 1024.4994308544.

The spelling of 1075313664 in words is "one billion, seventy-five million, three hundred thirteen thousand, six hundred sixty-four".