1287706140 has 384 divisors, whose sum is σ = 5022259200. Its totient is φ = 267079680.

The previous prime is 1287706097. The next prime is 1287706151. The reversal of 1287706140 is 416077821.

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

It is a junction number, because it is equal to n+sod(n) for n = 1287706095 and 1287706104.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 1863195 + ... + 1863885.

It is an arithmetic number, because the mean of its divisors is an integer number (13078800).

Almost surely, 2^1287706140 is an apocalyptic number.

1287706140 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 1287706140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2511129600).

1287706140 is an abundant number, since it is smaller than the sum of its proper divisors (3734553060).

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

1287706140 is a wasteful number, since it uses less digits than its factorization.

1287706140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 1287706140 is about 35884.6226119211. The cubic root of 1287706140 is about 1087.9416137480.

The spelling of 1287706140 in words is "one billion, two hundred eighty-seven million, seven hundred six thousand, one hundred forty".