1268588160 has 384 divisors, whose sum is σ = 5086748160. Its totient is φ = 285327360.

The previous prime is 1268588159. The next prime is 1268588171. The reversal of 1268588160 is 618858621.

1268588160 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 588 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2943145 + ... + 2943575.

It is an arithmetic number, because the mean of its divisors is an integer number (13246740).

Almost surely, 2^1268588160 is an apocalyptic number.

1268588160 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 1268588160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2543374080).

1268588160 is an abundant number, since it is smaller than the sum of its proper divisors (3818160000).

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

1268588160 is a wasteful number, since it uses less digits than its factorization.

1268588160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 1268588160 is about 35617.2452612495. The cubic root of 1268588160 is about 1082.5306908860.

The spelling of 1268588160 in words is "one billion, two hundred sixty-eight million, five hundred eighty-eight thousand, one hundred sixty".