1286987520 has 576 divisors, whose sum is σ = 5274501120. Its totient is φ = 260112384.

The previous prime is 1286987509. The next prime is 1286987531. The reversal of 1286987520 is 257896821.

It is an interprime number because it is at equal distance from previous prime (1286987509) and next prime (1286987531).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1286987520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10133697 + ... + 10133823.

It is an arithmetic number, because the mean of its divisors is an integer number (9157120).

Almost surely, 2^1286987520 is an apocalyptic number.

1286987520 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 1286987520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2637250560).

1286987520 is an abundant number, since it is smaller than the sum of its proper divisors (3987513600).

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

1286987520 is a wasteful number, since it uses less digits than its factorization.

1286987520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The square root of 1286987520 is about 35874.6082905444. The cubic root of 1286987520 is about 1087.7391964269.

The spelling of 1286987520 in words is "one billion, two hundred eighty-six million, nine hundred eighty-seven thousand, five hundred twenty".