1287197760 has 224 divisors, whose sum is σ = 4315675392. Its totient is φ = 324403200.

The previous prime is 1287197759. The next prime is 1287197761. The reversal of 1287197760 is 677917821.

It is an interprime number because it is at equal distance from previous prime (1287197759) and next prime (1287197761).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (1287197761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2141460 + ... + 2142060.

It is an arithmetic number, because the mean of its divisors is an integer number (19266408).

Almost surely, 2^1287197760 is an apocalyptic number.

1287197760 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 1287197760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2157837696).

1287197760 is an abundant number, since it is smaller than the sum of its proper divisors (3028477632).

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

1287197760 is a wasteful number, since it uses less digits than its factorization.

1287197760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 48.

The square root of 1287197760 is about 35877.5383770961. The cubic root of 1287197760 is about 1087.7984235842.

The spelling of 1287197760 in words is "one billion, two hundred eighty-seven million, one hundred ninety-seven thousand, seven hundred sixty".