1280164032 has 168 divisors, whose sum is σ = 4247692800. Its totient is φ = 361041408.

The previous prime is 1280163919. The next prime is 1280164037. The reversal of 1280164032 is 2304610821.

1280164032 is a `hidden beast` number, since 12 + 8 + 0 + 1 + 640 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a junction number, because it is equal to n+sod(n) for n = 1280163987 and 1280164005.

It is not an unprimeable number, because it can be changed into a prime (1280164037) 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 23 ways as a sum of consecutive naturals, for example, 316519 + ... + 320537.

Almost surely, 2^1280164032 is an apocalyptic number.

1280164032 is a gapful number since it is divisible by the number (12) 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 1280164032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2123846400).

1280164032 is an abundant number, since it is smaller than the sum of its proper divisors (2967528768).

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

1280164032 is a wasteful number, since it uses less digits than its factorization.

1280164032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4123 (or 4110 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1280164032 is about 35779.3799834486. The cubic root of 1280164032 is about 1085.8134250059.

Adding to 1280164032 its reverse (2304610821), we get a palindrome (3584774853).

The spelling of 1280164032 in words is "one billion, two hundred eighty million, one hundred sixty-four thousand, thirty-two".