1064131776 has 112 divisors (see below), whose sum is σ = 3150108000. Its totient is φ = 352244736.

The previous prime is 1064131687. The next prime is 1064131781. The reversal of 1064131776 is 6771314601.

1064131776 is a `hidden beast` number, since 1 + 0 + 641 + 3 + 1 + 7 + 7 + 6 = 666.

It is a super-2 number, since 2×1064131776² = 2264752873385828352, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1064131776.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255406 + ... + 259538.

Almost surely, 2^1064131776 is an apocalyptic number.

1064131776 is a gapful number since it is divisible by the number (16) 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 1064131776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575054000).

1064131776 is an abundant number, since it is smaller than the sum of its proper divisors (2085976224).

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

1064131776 is a wasteful number, since it uses less digits than its factorization.

1064131776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4303 (or 4287 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 1064131776 is about 32621.0327243023. The cubic root of 1064131776 is about 1020.9358884293.

The spelling of 1064131776 in words is "one billion, sixty-four million, one hundred thirty-one thousand, seven hundred seventy-six".