1287538800 has 240 divisors, whose sum is σ = 4382160000. Its totient is φ = 322237440.

The previous prime is 1287538789. The next prime is 1287538801. The reversal of 1287538800 is 88357821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1287538801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3397011 + ... + 3397389.

It is an arithmetic number, because the mean of its divisors is an integer number (18259000).

Almost surely, 2^1287538800 is an apocalyptic number.

1287538800 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 1287538800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2191080000).

1287538800 is an abundant number, since it is smaller than the sum of its proper divisors (3094621200).

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

1287538800 is a wasteful number, since it uses less digits than its factorization.

1287538800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The square root of 1287538800 is about 35882.2908967641. The cubic root of 1287538800 is about 1087.8944849736.

The spelling of 1287538800 in words is "one billion, two hundred eighty-seven million, five hundred thirty-eight thousand, eight hundred".