1075367664 has 200 divisors, whose sum is σ = 3591957600. Its totient is φ = 304238592.

The previous prime is 1075367653. The next prime is 1075367669. The reversal of 1075367664 is 4667635701.

1075367664 is a `hidden beast` number, since 107 + 536 + 7 + 6 + 6 + 4 = 666.

It is a super-2 number, since 2×1075367664² = 2312831225553633792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1075367669) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1024612 + ... + 1025660.

It is an arithmetic number, because the mean of its divisors is an integer number (17959788).

Almost surely, 2^1075367664 is an apocalyptic number.

1075367664 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 1075367664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1795978800).

1075367664 is an abundant number, since it is smaller than the sum of its proper divisors (2516589936).

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

1075367664 is a wasteful number, since it uses less digits than its factorization.

1075367664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 1075367664 is about 32792.7989656266. The cubic root of 1075367664 is about 1024.5165799726.

The spelling of 1075367664 in words is "one billion, seventy-five million, three hundred sixty-seven thousand, six hundred sixty-four".