1287624960 has 108 divisors (see below), whose sum is σ = 4455088092. Its totient is φ = 343363584.

The previous prime is 1287624953. The next prime is 1287624977. The reversal of 1287624960 is 694267821.

It is a happy number.

1287624960 is a `hidden beast` number, since 12 + 8 + 7 + 624 + 9 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 346853376 + 940771584 = 18624^2 + 30672^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44367 + ... + 67406.

Almost surely, 2^1287624960 is an apocalyptic number.

1287624960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1287624960 is an abundant number, since it is smaller than the sum of its proper divisors (3167463132).

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

1287624960 is a wasteful number, since it uses less digits than its factorization.

1287624960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111800 (or 111783 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 1287624960 is about 35883.4914689192. The cubic root of 1287624960 is about 1087.9187511415.

The spelling of 1287624960 in words is "one billion, two hundred eighty-seven million, six hundred twenty-four thousand, nine hundred sixty".