1287687936 has 144 divisors (see below), whose sum is σ = 3602672640. Its totient is φ = 407531520.

The previous prime is 1287687923. The next prime is 1287687937. The reversal of 1287687936 is 6397867821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1287687937) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4751481 + ... + 4751751.

It is an arithmetic number, because the mean of its divisors is an integer number (25018560).

Almost surely, 2^1287687936 is an apocalyptic number.

1287687936 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 1287687936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1801336320).

1287687936 is an abundant number, since it is smaller than the sum of its proper divisors (2314984704).

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

1287687936 is a wasteful number, since it uses less digits than its factorization.

1287687936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 568 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 57.

The square root of 1287687936 is about 35884.3689647735. The cubic root of 1287687936 is about 1087.9364870652.

The spelling of 1287687936 in words is "one billion, two hundred eighty-seven million, six hundred eighty-seven thousand, nine hundred thirty-six".