1287508320 has 432 divisors, whose sum is σ = 5203100448. Its totient is φ = 289013760.

The previous prime is 1287508319. The next prime is 1287508349. The reversal of 1287508320 is 238057821.

1287508320 is a `hidden beast` number, since 1 + 287 + 50 + 8 + 320 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5009632 + ... + 5009888.

It is an arithmetic number, because the mean of its divisors is an integer number (12044214).

Almost surely, 2^1287508320 is an apocalyptic number.

1287508320 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 1287508320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2601550224).

1287508320 is an abundant number, since it is smaller than the sum of its proper divisors (3915592128).

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

1287508320 is a wasteful number, since it uses less digits than its factorization.

1287508320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1287508320 is about 35881.8661722046. The cubic root of 1287508320 is about 1087.8859003040.

The spelling of 1287508320 in words is "one billion, two hundred eighty-seven million, five hundred eight thousand, three hundred twenty".