1287346000 has 80 divisors (see below), whose sum is σ = 3144115728. Its totient is φ = 509760000.

The previous prime is 1287345979. The next prime is 1287346033. The reversal of 1287346000 is 6437821.

It can be written as a sum of positive squares in 8 ways, for example, as 23116864 + 1264229136 = 4808^2 + 35556^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198814 + ... + 205186.

Almost surely, 2^1287346000 is an apocalyptic number.

1287346000 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 1287346000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572057864).

1287346000 is an abundant number, since it is smaller than the sum of its proper divisors (1856769728).

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

1287346000 is a wasteful number, since it uses less digits than its factorization.

1287346000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6497 (or 6481 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 1287346000 is about 35879.6042341607. The cubic root of 1287346000 is about 1087.8401807132.

The spelling of 1287346000 in words is "one billion, two hundred eighty-seven million, three hundred forty-six thousand".