1287646416 has 320 divisors, whose sum is σ = 4521932800. Its totient is φ = 342641664.

The previous prime is 1287646403. The next prime is 1287646417. The reversal of 1287646416 is 6146467821.

1287646416 is a `hidden beast` number, since 128 + 76 + 46 + 416 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1287646417) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4194135 + ... + 4194441.

It is an arithmetic number, because the mean of its divisors is an integer number (14131040).

Almost surely, 2^1287646416 is an apocalyptic number.

1287646416 is a gapful number since it is divisible by the number (16) 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 1287646416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2260966400).

1287646416 is an abundant number, since it is smaller than the sum of its proper divisors (3234286384).

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

1287646416 is a wasteful number, since it uses less digits than its factorization.

1287646416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 411 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 1287646416 is about 35883.7904352369. The cubic root of 1287646416 is about 1087.9247938573.

The spelling of 1287646416 in words is "one billion, two hundred eighty-seven million, six hundred forty-six thousand, four hundred sixteen".