1075732164 has 120 divisors (see below), whose sum is σ = 3053861888. Its totient is φ = 328224960.

The previous prime is 1075732159. The next prime is 1075732187. The reversal of 1075732164 is 4612375701.

It is a happy number.

1075732164 is a `hidden beast` number, since 1 + 0 + 7 + 573 + 21 + 64 = 666.

It is a super-4 number, since 4×1075732164⁴ (a number of 37 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 533919 + ... + 535929.

Almost surely, 2^1075732164 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 1075732164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526930944).

1075732164 is an abundant number, since it is smaller than the sum of its proper divisors (1978129724).

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

1075732164 is a wasteful number, since it uses less digits than its factorization.

1075732164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2167 (or 2156 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 1075732164 is about 32798.3561173422. The cubic root of 1075732164 is about 1024.6323215065.

The spelling of 1075732164 in words is "one billion, seventy-five million, seven hundred thirty-two thousand, one hundred sixty-four".