1285220160 has 336 divisors, whose sum is σ = 5191694976. Its totient is φ = 285659136.

The previous prime is 1285220141. The next prime is 1285220191. The reversal of 1285220160 is 610225821.

It is a happy number.

1285220160 is a `hidden beast` number, since 1 + 285 + 220 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 745059 + ... + 746781.

Almost surely, 2^1285220160 is an apocalyptic number.

1285220160 is a gapful number since it is divisible by the number (10) 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 1285220160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2595847488).

1285220160 is an abundant number, since it is smaller than the sum of its proper divisors (3906474816).

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

1285220160 is a wasteful number, since it uses less digits than its factorization.

1285220160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1285220160 is about 35849.9673640019. The cubic root of 1285220160 is about 1087.2410544788.

Adding to 1285220160 its reverse (610225821), we get a palindrome (1895445981).

It can be divided in two parts, 1285 and 220160, that added together give a triangular number (221445 = T₆₆₅).

The spelling of 1285220160 in words is "one billion, two hundred eighty-five million, two hundred twenty thousand, one hundred sixty".